Question 1

Solve the polynomial inequality.
-$$x ^ { 4 } - 6 x ^ { 3 } - 60 x ^ { 2 } + 152 x + 480 \leq 0$$

Accepted Answer

A)  $[ - 6,10 ]$ 
B)  $[ - 6 , - 2 ] \cup [ 4,10 ]$ 
C)  $( - 6 , - 2 ) \cup [ 4,10 ]$ 
D)  $[ - 6 , - 2 ] \cup ( 4,10 )$ 
A)  $[ - 6,10 ]$ 
B)  $[ - 6 , - 2 ] \cup [ 4,10 ]$ 
C)  $( - 6 , - 2 ) \cup [ 4,10 ]$ 
D)  $[ - 6 , - 2 ] \cup ( 4,10 )$

Question 2

Determine if the function is a monomial function (given that c and k represent constants). If it is, state the degree and
leading coefficient.
-$$f ( x ) = 2 \cdot x ^ { - 3 }$$

Accepted Answer

A)  Not a monomial function 
B)  Degree is 2 ; leading coefficient is $- 3$ 
C)  Degree is 3 ; leading coefficient is 2 
D)  Degree is $- 3$; leading coefficient is 2 
A)  Not a monomial function 
B)  Degree is 2 ; leading coefficient is $- 3$ 
C)  Degree is 3 ; leading coefficient is 2 
D)  Degree is $- 3$; leading coefficient is 2

Question 3

Match the graph of the rational function with its equation.
-

Accepted Answer

A)  $f ( x ) = \frac { 1 } { x - 2 }$ 
B)  $f ( x ) = \frac { - 1 } { x + 2 }$ 
C)  $f ( x ) = \frac { - 1 } { x - 2 }$ 
D)  $f ( x ) = \frac { 1 } { x + 2 }$ 
A)  $f ( x ) = \frac { 1 } { x - 2 }$ 
B)  $f ( x ) = \frac { - 1 } { x + 2 }$ 
C)  $f ( x ) = \frac { - 1 } { x - 2 }$ 
D)  $f ( x ) = \frac { 1 } { x + 2 }$

Question 4

Evaluate the limit based on the graph of f shown.
- 
$$\lim _ { x \rightarrow ^ { + } } f ( x )$$

Accepted Answer

A)  4 
B)   $-\infty$ 
C)  0 
D)  $\infty$ 
A)  4 
B)   $-\infty$ 
C)  0 
D)  $\infty$

Question 5

Write the function as a product of linear and irreducible quadratic factors, all with real coefficients.
-$$f ( x ) = x ^ { 4 } - 12 x ^ { 3 } + 36 x ^ { 2 } - 12 x + 35$$

Accepted Answer

A)  $( x - 7 ) ( x - 5 ) \left( x ^ { 2 } + 1 \right)$ 
B)  $( x - 7 ) ^ { 2 } \left( x ^ { 2 } + 1 \right)$ 
C)  $( x - 7 ) ( x + 5 ) \left( x ^ { 2 } + 1 \right)$ 
D)  $( x + 7 ) ( x - 5 ) \left( x ^ { 2 } + 1 \right)$ 
A)  $( x - 7 ) ( x - 5 ) \left( x ^ { 2 } + 1 \right)$ 
B)  $( x - 7 ) ^ { 2 } \left( x ^ { 2 } + 1 \right)$ 
C)  $( x - 7 ) ( x + 5 ) \left( x ^ { 2 } + 1 \right)$ 
D)  $( x + 7 ) ( x - 5 ) \left( x ^ { 2 } + 1 \right)$

Question 6

Write the statement as a power function equation. Use k as the constant of variation.
-John kept track of the time it took him to drive to college from his home and the speed at which he drove. He found that the time $t$ varies inversely as the speed $r$.

Accepted Answer

A)  $\mathrm { r } = \mathrm { kt }$ 
B)  $t = \frac { k } { r }$ 
C)  $t = \frac { r } { k }$ 
D)  $t = k r$ 
A)  $\mathrm { r } = \mathrm { kt }$ 
B)  $t = \frac { k } { r }$ 
C)  $t = \frac { r } { k }$ 
D)  $t = k r$

Question 7

Determine the x values that cause the function to be (a) zero, (b) undefined, (c) positive, and (d) negative.
-$$f ( x ) = \frac { ( 2 x - 9 ) ( x + 3 ) } { x + 4 }$$

Accepted Answer

A)  (a) $\left\{ - 3 , \frac { 9 } { 2 } \right\}$ (b) $\{ - 4 \}$, (c) $( \infty , - 4 ) \cup \left( - 3 , \frac { 9 } { 2 } \right)$, (d) $( - 4 , - 3 ) \cup \left( \frac { 9 } { 2 } , \infty \right)$ 
B)  (a) $\{ - 4 \}$, (b) $\left\{ - 3 , \frac { 9 } { 2 } \right\}$, (c) $( - 4 , - 3 ) \cup \left( \frac { 9 } { 2 } , \infty \right)$, (d) $( \infty , - 4 ) \cup \left( - 3 , \frac { 9 } { 2 } \right)$ 
C)  (a) $\left\{ - 3 , \frac { 9 } { 2 } \right\} ($ b $) \{ - 4 \} , \left( \right.$ c) $( - 4 , - 3 ) \cup \left( \frac { 9 } { 2 } , \infty \right)$, (d) $( \infty , - 4 ) \cup \left( - 3 , \frac { 9 } { 2 } \right)$ 
D)  (a) $\{ - 4 \}$, (b) $\left\{ - 3 , \frac { 9 } { 2 } \right\}$, (c) $( \infty , - 4 ) \cup \left( - 3 , \frac { 9 } { 2 } \right)$, (d) $( - 4 , - 3 ) \cup \left( \frac { 9 } { 2 } , \infty \right)$ 
A)  (a) $\left\{ - 3 , \frac { 9 } { 2 } \right\}$ (b) $\{ - 4 \}$, (c) $( \infty , - 4 ) \cup \left( - 3 , \frac { 9 } { 2 } \right)$, (d) $( - 4 , - 3 ) \cup \left( \frac { 9 } { 2 } , \infty \right)$ 
B)  (a) $\{ - 4 \}$, (b) $\left\{ - 3 , \frac { 9 } { 2 } \right\}$, (c) $( - 4 , - 3 ) \cup \left( \frac { 9 } { 2 } , \infty \right)$, (d) $( \infty , - 4 ) \cup \left( - 3 , \frac { 9 } { 2 } \right)$ 
C)  (a) $\left\{ - 3 , \frac { 9 } { 2 } \right\} ($ b $) \{ - 4 \} , \left( \right.$ c) $( - 4 , - 3 ) \cup \left( \frac { 9 } { 2 } , \infty \right)$, (d) $( \infty , - 4 ) \cup \left( - 3 , \frac { 9 } { 2 } \right)$ 
D)  (a) $\{ - 4 \}$, (b) $\left\{ - 3 , \frac { 9 } { 2 } \right\}$, (c) $( \infty , - 4 ) \cup \left( - 3 , \frac { 9 } { 2 } \right)$, (d) $( - 4 , - 3 ) \cup \left( \frac { 9 } { 2 } , \infty \right)$

Question 8

Describe the strength and direction of the linear correlation.
-

Accepted Answer

A)  Little or no linear correlation 
B)  Strong negative linear correlation 
C)  Strong positive linear correlation 
D)  Weak positive linear correlation 
A)  Little or no linear correlation 
B)  Strong negative linear correlation 
C)  Strong positive linear correlation 
D)  Weak positive linear correlation

Question 9

Graph the function.
-$$P ( x ) = ( - 3 x - 1 ) ( x + 1 ) ( x + 2 )$$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 10

Solve the problem.
-The number of mosquitoes $\mathrm { M } ( \mathrm { x } )$, in millions, in a certain area depends on the June rainfall $x$, in inches: $\mathrm { M } ( \mathrm { x } ) =$ $14 x - x ^ { 2 }$. What rainfall produces the maximum number of mosquitoes?

Accepted Answer

A)  $0 \mathrm { in }$. 
B)  $14 \mathrm { in. }$ 
C)  $196 \mathrm { in } .$ 
D)  $7 \mathrm { in }$. 
A)  $0 \mathrm { in }$. 
B)  $14 \mathrm { in. }$ 
C)  $196 \mathrm { in } .$ 
D)  $7 \mathrm { in }$.

Question 11

For the given function, find all asymptotes of the type indicated (if there are any)
-$f ( x ) = \frac { x - 1 } { x ^ { 2 } + 8 }$, vertical

Accepted Answer

A)  $x = 1 , x = - 1$ 
B)  None 
C)  $x = 8$ 
D)  $x = - 8$ 
A)  $x = 1 , x = - 1$ 
B)  None 
C)  $x = 8$ 
D)  $x = - 8$

Question 12

Describe the strength and direction of the linear correlation.
-

Accepted Answer

A)  Weak negative linear correlation 
B)  Little or no linear correlation 
C)  Strong positive linear correlation 
D)  Weak positive linear correlation 
A)  Weak negative linear correlation 
B)  Little or no linear correlation 
C)  Strong positive linear correlation 
D)  Weak positive linear correlation

Question 13

List the x- and y-intercepts, and graph the function.
-$$f ( x ) = \frac { x ^ { 2 } - x - 6 } { x + 4 }$$

Accepted Answer

A)  x-intercepts: $( - 2,0 )$ and $( 3,0 )$,
$y$-intercept: $( 0,6 )$;
  
B)  $x$-intercepts: $( - 2,0 )$ and $( 3,0 )$,
y-intercept: $\left( 0 , - \frac { 3 } { 2 } \right)$;
  
C)  x-intercepts: $( - 2,0 )$ and $( 3,0 )$,
$\mathrm { y }$-intercept: $\left( 0 , \frac { 3 } { 2 } \right)$;
  
D)  x-intercepts: $( - 2,0 )$ and $( 3,0 )$,
y-intercept: $( 0 , - 6 )$;
  
A)  x-intercepts: $( - 2,0 )$ and $( 3,0 )$,
$y$-intercept: $( 0,6 )$;
  
B)  $x$-intercepts: $( - 2,0 )$ and $( 3,0 )$,
y-intercept: $\left( 0 , - \frac { 3 } { 2 } \right)$;
  
C)  x-intercepts: $( - 2,0 )$ and $( 3,0 )$,
$\mathrm { y }$-intercept: $\left( 0 , \frac { 3 } { 2 } \right)$;
  
D)  x-intercepts: $( - 2,0 )$ and $( 3,0 )$,
y-intercept: $( 0 , - 6 )$;

Question 14

Solve the problem.
-Suppose a cost-benefit model is given by $y = \frac { 3.6 x } { 100 - x }$, where $y$ is the cost in thousands of dollars for removing $x$ percent of a given pollutant. Find the cost of removing $90 \%$ to the nearest dollar.

Accepted Answer

A)  $\$ 3600$ 
B)  $\$ 32,400$ 
C)  $\$ 3240$ 
D)  $\$ 9000$ 
A)  $\$ 3600$ 
B)  $\$ 32,400$ 
C)  $\$ 3240$ 
D)  $\$ 9000$

Question 15

Find the remainder when f(x) is divided by (x - k)
-$$f ( x ) = 4 x ^ { 3 } - 7 x ^ { 2 } - 3 x + 5 ; k = - 2$$

Accepted Answer

A)  2 
B)  $- 49$ 
C)  -61 
D)  $- 15$ 
A)  2 
B)  $- 49$ 
C)  -61 
D)  $- 15$

Question 16

State the domain of the rational function.
-$$f ( x ) = \frac { ( x - 8 ) ( x + 6 ) } { x ^ { 2 } - 4 }$$

Accepted Answer

A)  $( - \infty , \infty )$ 
B)  $( - \infty , - 6 ) \cup ( - 6,8 ) \cup ( 8 , \infty )$ 
C)  $( - \infty , - 2 ) \cup ( - 2,2 ) \cup ( 2 , \infty )$ 
D)  $( - \infty , - 8 ) \cup ( - 8,6 ) \cup ( 6 , \infty )$ 
A)  $( - \infty , \infty )$ 
B)  $( - \infty , - 6 ) \cup ( - 6,8 ) \cup ( 8 , \infty )$ 
C)  $( - \infty , - 2 ) \cup ( - 2,2 ) \cup ( 2 , \infty )$ 
D)  $( - \infty , - 8 ) \cup ( - 8,6 ) \cup ( 6 , \infty )$

Question 17

Solve the problem.
-A projectile is thrown upward so that its distance above the ground after $t$ seconds is $h = - 16 t ^ { 2 } + 640 t$ After how many seconds does it reach its maximum height?

Accepted Answer

A)  $10 \mathrm {~s}$ 
B)  $30 \mathrm {~s}$ 
C)  $40 \mathrm {~s}$ 
D)  $20 \mathrm {~s}$ 
A)  $10 \mathrm {~s}$ 
B)  $30 \mathrm {~s}$ 
C)  $40 \mathrm {~s}$ 
D)  $20 \mathrm {~s}$

Question 18

Find the zeros of the function.
-$$f ( x ) = x ^ { 2 } - 2 x - 15$$

Accepted Answer

A)  3 and 5 
B)  3 and $- 5$ 
C)  $- 3$ and $- 5$ 
D)  $- 3$ and 5 
A)  3 and 5 
B)  3 and $- 5$ 
C)  $- 3$ and $- 5$ 
D)  $- 3$ and 5

Question 19

Solve the problem.
-A plane suddenly experiences turbulence while in flight. At this point the change in its altitude, in feet, is represt the following function of time:
$$F ( t ) = \frac { 5 ( t - 10 ) ^ { 2 } - 19 } { 20 ( t - 10 ) ^ { 2 } - 10 ( t - 10 ) + 16 }$$
Assuming that the turbulence first hits at time $t = 0$, what is the maximum relative drop the plane will experienc due to turbulence? (Round the result to the nearest hundredth.)

Accepted Answer

A)  $0.25 \mathrm { ft }$. 
B)  $28.19 \mathrm { ft }$. 
C)  $1.27 \mathrm { ft }$. 
D)  $10.21 \mathrm { ft }$. 
A)  $0.25 \mathrm { ft }$. 
B)  $28.19 \mathrm { ft }$. 
C)  $1.27 \mathrm { ft }$. 
D)  $10.21 \mathrm { ft }$.

Question 20

Describe how the graph of the given function can be obtained by transforming the graph of the reciprocal function f(x) =
1/x.
-$$f ( x ) = \frac { 1 - 7 x } { x + 3 }$$

Accepted Answer

A)  Shift the graph of the reciprocal function right 3 units, stretch vertically by a factor of 22, and then shift 7 units down. 
B)  Shift the graph of the reciprocal function right 3 units, stretch vertically by a factor of 22, and then shift 7 units up. 
C)  Shift the graph of the reciprocal function left 3 units, stretch vertically by a factor of 22 , and then shift 7 units down. 
D)  Shift the graph of the reciprocal function left 3 units, stretch vertically by a factor of 22 , and then shift 7 units up. 
A)  Shift the graph of the reciprocal function right 3 units, stretch vertically by a factor of 22, and then shift 7 units down. 
B)  Shift the graph of the reciprocal function right 3 units, stretch vertically by a factor of 22, and then shift 7 units up. 
C)  Shift the graph of the reciprocal function left 3 units, stretch vertically by a factor of 22 , and then shift 7 units down. 
D)  Shift the graph of the reciprocal function left 3 units, stretch vertically by a factor of 22 , and then shift 7 units up.

Solve the polynomial inequality. - $x ^ { 4 } - 6 x ^ { 3 } - 60 x ^ { 2 } + 152 x + 480 \leq 0$

Determine if the function is a monomial function (given that c and k represent constants). If it is, state the degree and leading coefficient. - $f ( x ) = 2 \cdot x ^ { - 3 }$

Match the graph of the rational function with its equation. -

Evaluate the limit based on the graph of f shown. - $Evaluate the limit based on the graph of f shown. - \lim _ { x \rightarrow ^ { + } } f ( x )$ $\lim _ { x \rightarrow ^ { + } } f ( x )$

Write the function as a product of linear and irreducible quadratic factors, all with real coefficients. - $f ( x ) = x ^ { 4 } - 12 x ^ { 3 } + 36 x ^ { 2 } - 12 x + 35$

Write the statement as a power function equation. Use k as the constant of variation. -John kept track of the time it took him to drive to college from his home and the speed at which he drove. He found that the time $t$ varies inversely as the speed $r$ .

Determine the x values that cause the function to be (a) zero, (b) undefined, (c) positive, and (d) negative. - $f ( x ) = \frac { ( 2 x - 9 ) ( x + 3 ) } { x + 4 }$

Describe the strength and direction of the linear correlation. -

Graph the function. - $P ( x ) = ( - 3 x - 1 ) ( x + 1 ) ( x + 2 )$

Solve the problem. -The number of mosquitoes $\mathrm { M } ( \mathrm { x } )$ , in millions, in a certain area depends on the June rainfall $x$ , in inches: $\mathrm { M } ( \mathrm { x } ) =$ $14 x - x ^ { 2 }$ . What rainfall produces the maximum number of mosquitoes?

For the given function, find all asymptotes of the type indicated (if there are any) - $f ( x ) = \frac { x - 1 } { x ^ { 2 } + 8 }$ , vertical

Describe the strength and direction of the linear correlation. -

List the x- and y-intercepts, and graph the function. - $f ( x ) = \frac { x ^ { 2 } - x - 6 } { x + 4 }$ $List the x- and y-intercepts, and graph the function. - f ( x ) = \frac { x ^ { 2 } - x - 6 } { x + 4 }$

Solve the problem. -Suppose a cost-benefit model is given by $y = \frac { 3.6 x } { 100 - x }$ , where $y$ is the cost in thousands of dollars for removing $x$ percent of a given pollutant. Find the cost of removing $90 \%$ to the nearest dollar.

Find the remainder when f(x) is divided by (x - k) - $f ( x ) = 4 x ^ { 3 } - 7 x ^ { 2 } - 3 x + 5 ; k = - 2$

State the domain of the rational function. - $f ( x ) = \frac { ( x - 8 ) ( x + 6 ) } { x ^ { 2 } - 4 }$

Solve the problem. -A projectile is thrown upward so that its distance above the ground after $t$ seconds is $h = - 16 t ^ { 2 } + 640 t$ After how many seconds does it reach its maximum height?

Find the zeros of the function. - $f ( x ) = x ^ { 2 } - 2 x - 15$

Describe how the graph of the given function can be obtained by transforming the graph of the reciprocal function f(x) = 1/x. - $f ( x ) = \frac { 1 - 7 x } { x + 3 }$

Functions and Graphs

Exponential, Logistic, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems and Matrices

Analytic Geometry in Two and Three Dimensions

Discrete Mathematics

Statistics and Probability

An Introduction to Calculus: Limits, Derivatives, and Integrals

Prerequisites

Filters

Exam 2: Polynomial, Power, and Rational Functions

Solve the polynomial inequality. - x4−6x3−60x2+152x+480≤0x ^ { 4 } - 6 x ^ { 3 } - 60 x ^ { 2 } + 152 x + 480 \leq 0x4−6x3−60x2+152x+480≤0

Determine if the function is a monomial function (given that c and k represent constants). If it is, state the degree and leading coefficient. - f(x)=2⋅x−3f ( x ) = 2 \cdot x ^ { - 3 }f(x)=2⋅x−3

Match the graph of the rational function with its equation. -

Evaluate the limit based on the graph of f shown. - lim⁡x→+f(x)\lim _ { x \rightarrow ^ { + } } f ( x )limx→+​f(x)

Write the function as a product of linear and irreducible quadratic factors, all with real coefficients. - f(x)=x4−12x3+36x2−12x+35f ( x ) = x ^ { 4 } - 12 x ^ { 3 } + 36 x ^ { 2 } - 12 x + 35f(x)=x4−12x3+36x2−12x+35

Write the statement as a power function equation. Use k as the constant of variation. -John kept track of the time it took him to drive to college from his home and the speed at which he drove. He found that the time ttt varies inversely as the speed rrr .

Determine the x values that cause the function to be (a) zero, (b) undefined, (c) positive, and (d) negative. - f(x)=(2x−9)(x+3)x+4f ( x ) = \frac { ( 2 x - 9 ) ( x + 3 ) } { x + 4 }f(x)=x+4(2x−9)(x+3)​

Describe the strength and direction of the linear correlation. -

Graph the function. - P(x)=(−3x−1)(x+1)(x+2)P ( x ) = ( - 3 x - 1 ) ( x + 1 ) ( x + 2 )P(x)=(−3x−1)(x+1)(x+2)

Solve the problem. -The number of mosquitoes M(x)\mathrm { M } ( \mathrm { x } )M(x) , in millions, in a certain area depends on the June rainfall xxx , in inches: M(x)=\mathrm { M } ( \mathrm { x } ) =M(x)= 14x−x214 x - x ^ { 2 }14x−x2 . What rainfall produces the maximum number of mosquitoes?

For the given function, find all asymptotes of the type indicated (if there are any) - f(x)=x−1x2+8f ( x ) = \frac { x - 1 } { x ^ { 2 } + 8 }f(x)=x2+8x−1​ , vertical

Describe the strength and direction of the linear correlation. -

List the x- and y-intercepts, and graph the function. - f(x)=x2−x−6x+4f ( x ) = \frac { x ^ { 2 } - x - 6 } { x + 4 }f(x)=x+4x2−x−6​

Solve the problem. -Suppose a cost-benefit model is given by y=3.6x100−xy = \frac { 3.6 x } { 100 - x }y=100−x3.6x​ , where yyy is the cost in thousands of dollars for removing xxx percent of a given pollutant. Find the cost of removing 90%90 \%90% to the nearest dollar.

Find the remainder when f(x) is divided by (x - k) - f(x)=4x3−7x2−3x+5;k=−2f ( x ) = 4 x ^ { 3 } - 7 x ^ { 2 } - 3 x + 5 ; k = - 2f(x)=4x3−7x2−3x+5;k=−2

State the domain of the rational function. - f(x)=(x−8)(x+6)x2−4f ( x ) = \frac { ( x - 8 ) ( x + 6 ) } { x ^ { 2 } - 4 }f(x)=x2−4(x−8)(x+6)​

Solve the problem. -A projectile is thrown upward so that its distance above the ground after ttt seconds is h=−16t2+640th = - 16 t ^ { 2 } + 640 th=−16t2+640t After how many seconds does it reach its maximum height?

Find the zeros of the function. - f(x)=x2−2x−15f ( x ) = x ^ { 2 } - 2 x - 15f(x)=x2−2x−15

Describe how the graph of the given function can be obtained by transforming the graph of the reciprocal function f(x) = 1/x. - f(x)=1−7xx+3f ( x ) = \frac { 1 - 7 x } { x + 3 }f(x)=x+31−7x​

Functions and Graphs

Exponential, Logistic, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems and Matrices

Analytic Geometry in Two and Three Dimensions

Discrete Mathematics

Statistics and Probability

An Introduction to Calculus: Limits, Derivatives, and Integrals

Prerequisites

Filters

Solve the polynomial inequality. - $x ^ { 4 } - 6 x ^ { 3 } - 60 x ^ { 2 } + 152 x + 480 \leq 0$

Determine if the function is a monomial function (given that c and k represent constants). If it is, state the degree and leading coefficient. - $f ( x ) = 2 \cdot x ^ { - 3 }$

Evaluate the limit based on the graph of f shown. - $Evaluate the limit based on the graph of f shown. - \lim _ { x \rightarrow ^ { + } } f ( x )$ $\lim _ { x \rightarrow ^ { + } } f ( x )$

Write the function as a product of linear and irreducible quadratic factors, all with real coefficients. - $f ( x ) = x ^ { 4 } - 12 x ^ { 3 } + 36 x ^ { 2 } - 12 x + 35$

Write the statement as a power function equation. Use k as the constant of variation. -John kept track of the time it took him to drive to college from his home and the speed at which he drove. He found that the time $t$ varies inversely as the speed $r$ .

Determine the x values that cause the function to be (a) zero, (b) undefined, (c) positive, and (d) negative. - $f ( x ) = \frac { ( 2 x - 9 ) ( x + 3 ) } { x + 4 }$

Graph the function. - $P ( x ) = ( - 3 x - 1 ) ( x + 1 ) ( x + 2 )$

Solve the problem. -The number of mosquitoes $\mathrm { M } ( \mathrm { x } )$ , in millions, in a certain area depends on the June rainfall $x$ , in inches: $\mathrm { M } ( \mathrm { x } ) =$ $14 x - x ^ { 2 }$ . What rainfall produces the maximum number of mosquitoes?

For the given function, find all asymptotes of the type indicated (if there are any) - $f ( x ) = \frac { x - 1 } { x ^ { 2 } + 8 }$ , vertical

List the x- and y-intercepts, and graph the function. - $f ( x ) = \frac { x ^ { 2 } - x - 6 } { x + 4 }$ $List the x- and y-intercepts, and graph the function. - f ( x ) = \frac { x ^ { 2 } - x - 6 } { x + 4 }$

Solve the problem. -Suppose a cost-benefit model is given by $y = \frac { 3.6 x } { 100 - x }$ , where $y$ is the cost in thousands of dollars for removing $x$ percent of a given pollutant. Find the cost of removing $90 \%$ to the nearest dollar.

Find the remainder when f(x) is divided by (x - k) - $f ( x ) = 4 x ^ { 3 } - 7 x ^ { 2 } - 3 x + 5 ; k = - 2$

State the domain of the rational function. - $f ( x ) = \frac { ( x - 8 ) ( x + 6 ) } { x ^ { 2 } - 4 }$

Solve the problem. -A projectile is thrown upward so that its distance above the ground after $t$ seconds is $h = - 16 t ^ { 2 } + 640 t$ After how many seconds does it reach its maximum height?

Find the zeros of the function. - $f ( x ) = x ^ { 2 } - 2 x - 15$

Describe how the graph of the given function can be obtained by transforming the graph of the reciprocal function f(x) = 1/x. - $f ( x ) = \frac { 1 - 7 x } { x + 3 }$