Question 1

Determine the intervals of the domain for which the function is increasing, decreasing, and constant.
-

Accepted Answer

A)  Increasing never; Decreasing $( - \infty , - 2 ) \cup ( 2 , \infty )$ 
B)  Increasing $( - 2,2 )$; Decreasing $( - \infty , - 2 ) \cup ( 2 , \infty )$ 
C)  Increasing $( 2 , \infty )$; Decreasing $( - \infty , - 2 )$ 
D)  Increasing $( - \infty , - 2 ) \cup ( 2 , \infty )$; Decreasing never 
A)  Increasing never; Decreasing $( - \infty , - 2 ) \cup ( 2 , \infty )$ 
B)  Increasing $( - 2,2 )$; Decreasing $( - \infty , - 2 ) \cup ( 2 , \infty )$ 
C)  Increasing $( 2 , \infty )$; Decreasing $( - \infty , - 2 )$ 
D)  Increasing $( - \infty , - 2 ) \cup ( 2 , \infty )$; Decreasing never

Question 2

Evaluate the function.
-Find $f \left( \frac { 1 } { 2 } \right)$ when $f ( x ) = - 2 x ^ { 2 } + 7 x - 2$

Accepted Answer

A)  - 1 
B)  $- \frac { 3 } { 4 }$ 
C)  1 
D)  $\frac { 3 } { 4 }$ 
A)  - 1 
B)  $- \frac { 3 } { 4 }$ 
C)  1 
D)  $\frac { 3 } { 4 }$

Question 3

Graph the function.
-$f(x)=-(x-6)^{2}+4$

Accepted Answer

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

Question 4

Determine whether the equation has a graph that is symmetric with respect to the y -axis, the x-axis, the origin, or none
of these.
-$$y = 5 x ^ { 5 } - 3 x ^ { 3 }$$

Accepted Answer

A)  none of these 
B)  origin only 
C)  $y$-axis only 
D)  $x$-axis, $y$-axis, origin 
A)  none of these 
B)  origin only 
C)  $y$-axis only 
D)  $x$-axis, $y$-axis, origin

Question 5

Determine whether the three points are collinear.
-(5, -1), (-3, 6), (4, -2)

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 6

Graph the function.
-$$y = - \frac { 1 } { 5 } ( x - 5 ) ^ { 3 }$$

Accepted Answer

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

Question 7

Determine the intervals of the domain for which the function is increasing, decreasing, and constant.
-

Accepted Answer

A)  Increasing $( - \infty , 3 ]$; Decreasing $[ - 3 , \infty )$; Constant $[ - 3,3 ]$ 
B)  Increasing $[ 3 , \infty )$; Decreasing $[ - 3 , \infty )$; Constant $( - 3,3 )$ 
C)  Increasing $[ 3 , \infty )$; Decreasing $( - \infty , - 3 ]$; Constant $[ - 3,3 ]$ 
D)  Increasing $( - \infty , 3 ]$; Decreasing $( - \infty , - 3 ]$; Constant $( - 3,3 )$ 
A)  Increasing $( - \infty , 3 ]$; Decreasing $[ - 3 , \infty )$; Constant $[ - 3,3 ]$ 
B)  Increasing $[ 3 , \infty )$; Decreasing $[ - 3 , \infty )$; Constant $( - 3,3 )$ 
C)  Increasing $[ 3 , \infty )$; Decreasing $( - \infty , - 3 ]$; Constant $[ - 3,3 ]$ 
D)  Increasing $( - \infty , 3 ]$; Decreasing $( - \infty , - 3 ]$; Constant $( - 3,3 )$

Question 8

Find the center-radius form of the circle described or graphed.
-a circle having a diameter with endpoints $( - 3,3 )$ and $( - 6,2 )$

Accepted Answer

A)  $\left( x + \frac { 9 } { 2 } \right) ^ { 2 } + \left( y - \frac { 5 } { 2 } \right) ^ { 2 } = \frac { 5 } { 2 }$ 
B)  $\left( x - \frac { 9 } { 2 } \right) ^ { 2 } + \left( y + \frac { 5 } { 2 } \right) ^ { 2 } = 106$ 
C)  $\left\{ x - \frac { 3 } { 2 } \right) ^ { 2 } + \left( y - \frac { 1 } { 2 } \right) ^ { 2 } = 10$ 
D)  $\left( x - \frac { 9 } { 2 } \right) ^ { 2 } + \left( y - \frac { 5 } { 2 } \right) ^ { 2 } = 82$ 
A)  $\left( x + \frac { 9 } { 2 } \right) ^ { 2 } + \left( y - \frac { 5 } { 2 } \right) ^ { 2 } = \frac { 5 } { 2 }$ 
B)  $\left( x - \frac { 9 } { 2 } \right) ^ { 2 } + \left( y + \frac { 5 } { 2 } \right) ^ { 2 } = 106$ 
C)  $\left\{ x - \frac { 3 } { 2 } \right) ^ { 2 } + \left( y - \frac { 1 } { 2 } \right) ^ { 2 } = 10$ 
D)  $\left( x - \frac { 9 } { 2 } \right) ^ { 2 } + \left( y - \frac { 5 } { 2 } \right) ^ { 2 } = 82$

Question 9

Solve the problem.
-A circle has a diameter with endpoints $( - 2,1 )$ and $( 4,9 )$. Find the radius.

Accepted Answer

A)  $\sqrt { 10 }$ 
B)  $\sqrt { 5 }$ 
C)  5 
D)  10 
A)  $\sqrt { 10 }$ 
B)  $\sqrt { 5 }$ 
C)  5 
D)  10

Question 10

Solve the problem.
-Northwest Molded molds plastic handles which cost $0.40 per handle to mold. The fixed cost to run the molding machine is $6680 per week. If the company sells the handles for $4.40 each, how
Many handles must be molded and sold weekly to break even?

Accepted Answer

A)  1391 handles 
B)  16,700 handles 
C)  1113 handles 
D)  1670 handles 
A)  1391 handles 
B)  16,700 handles 
C)  1113 handles 
D)  1670 handles

Question 11

Solve the problem.
-Sketch a graph showing the distance (in miles) that a person is from home after $x$ hours if that individual drives at $35 \mathrm { mph }$ to a lake 70 miles away, stays at the lake $1.5$ hours, and then returns home at a speed of $70 \mathrm { mph }$.

Accepted Answer

A) 
  
B)  none of these 
C) 
  
D) 
  
A) 
  
B)  none of these 
C) 
  
D)

Question 12

Use a graphing calculator to solve the linear equation.
-$$10 y = 7 y + 9 + 2 y$$

Accepted Answer

A)  $\{ 9 \}$ 
B)  $\{ - 90 \}$ 
C)  $\{ - 9 \}$ 
D)  $\{ 90 \}$ 
A)  $\{ 9 \}$ 
B)  $\{ - 90 \}$ 
C)  $\{ - 9 \}$ 
D)  $\{ 90 \}$

Question 13

Use the graph to solve the problem.
-At what time was the temperature $73 ^ { \circ }$ ?

Accepted Answer

A)  10 a.m. and 11 a.m. 
B)  $10 \mathrm { a } . \mathrm { m }$. 
C)  4 p.m. and 5 p.m. 
D)  5 p.m. 
A)  10 a.m. and 11 a.m. 
B)  $10 \mathrm { a } . \mathrm { m }$. 
C)  4 p.m. and 5 p.m. 
D)  5 p.m.

Question 14

Solve the problem.
-The table lists the average composite scores on a national entrance exam for selected years. $$\begin{array} { c | c c c c c c c } 
\text { Year } & 2 & 4 & 6 & 8 & 10 & 12 & 14 \
\hline \text { Score } & 122.7 & 131.5 & 131.5 & 129.5 & 133.9 & 132.0 & 130.0
\end{array}$$ (i) Make a line graph of the data. (ii) If the graph represents a piecewise-linear function f, find a symbolic representation for the
Piece of f located on the interval [4, 6].

Accepted Answer

A)  none of these 
B)  $f ( x ) = 4.4 x - 8589.3$ if $8 \leq x \leq 10$
  
C)  $f ( x ) = 131.5$ if $4 \leq x \leq 6$

D)  $f ( x ) = 0.75 x - 1355$ if $4 \leq x \leq 8$
  
A)  none of these 
B)  $f ( x ) = 4.4 x - 8589.3$ if $8 \leq x \leq 10$
  
C)  $f ( x ) = 131.5$ if $4 \leq x \leq 6$

D)  $f ( x ) = 0.75 x - 1355$ if $4 \leq x \leq 8$

Question 15

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such.
-$h(x)=4$

Accepted Answer

A)  $\mathrm { D } = \{ 4 \} , \mathrm { R } = ( - \infty , \infty )$
constant function
  
B)  $\mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = \{ 4 \}$
constant function 
  
C)  $\mathrm { D } = \{ 4 \} , \mathrm { R } = ( - \infty , \infty )$
constant function
  
D)  $\mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = \{ 4 \}$
constant function 
  
A)  $\mathrm { D } = \{ 4 \} , \mathrm { R } = ( - \infty , \infty )$
constant function
  
B)  $\mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = \{ 4 \}$
constant function 
  
C)  $\mathrm { D } = \{ 4 \} , \mathrm { R } = ( - \infty , \infty )$
constant function
  
D)  $\mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = \{ 4 \}$
constant function

Question 16

Match the description with the correct symbolic expression.
-a line with a positive slope

Accepted Answer

A)  -5x + 5y = 13 
B)  y = x13 
C)  x = -3 
D) y = -3x + 13 
A)  -5x + 5y = 13 
B)  y = x13 
C)  x = -3 
D) y = -3x + 13

Question 17

An equation that defines y as a function of x is given. Solve for y in terms of x, and replace y with the function notation
f(x).
-$$6 x - 8 y = 7$$

Accepted Answer

A)  $f ( x ) = \frac { 3 } { 4 } x + \frac { 7 } { 8 }$ 
B)  $f ( x ) = \frac { 3 } { 4 } x - \frac { 7 } { 8 }$ 
C)  $f ( x ) = \frac { 4 } { 3 } x + \frac { 7 } { 6 }$ 
D)  $f ( x ) = 6 x - 7$ 
A)  $f ( x ) = \frac { 3 } { 4 } x + \frac { 7 } { 8 }$ 
B)  $f ( x ) = \frac { 3 } { 4 } x - \frac { 7 } { 8 }$ 
C)  $f ( x ) = \frac { 4 } { 3 } x + \frac { 7 } { 6 }$ 
D)  $f ( x ) = 6 x - 7$

Question 18

Solve the problem. Write all linear equations in slope-intercept form.
-The amount of time t it takes a flame to go out in a closed container is a linear function of the volume of the container x. A flame in 735 mL container takes 13 seconds to go out and a flame in

Accepted Answer

A)  1225 mL container takes 23 seconds. Write a linear function that relates t to x. 
A)  $t = \frac { 1 } { 49 } x - 2$ 
B)  $t = \frac { 1 } { 49 } x$ 
C)  $t = 49 x - 2$ 
D)  $t = \frac { 9 } { 490 } x - \frac { 1 } { 2 }$ 
A)  1225 mL container takes 23 seconds. Write a linear function that relates t to x. 
A)  $t = \frac { 1 } { 49 } x - 2$ 
B)  $t = \frac { 1 } { 49 } x$ 
C)  $t = 49 x - 2$ 
D)  $t = \frac { 9 } { 490 } x - \frac { 1 } { 2 }$

Question 19

Decide whether the relation defines a function.
-$$y = \sqrt { 3 x - 2 }$$

Accepted Answer

A)  Not a function 
B)  Function 
A)  Not a function 
B)  Function

Question 20

Give the domain and range of the relation.
-$\{ ( 1,7 ) , ( - 1 , - 9 ) , ( - 6 , - 5 ) , ( 5,0 ) \}$

Accepted Answer

A)  domain: $\{ - 9 , - 6 , - 5 , - 1 \}$; range: $\{ 1,5,7 \}$ 
B)  domain: $\{ - 6 , - 1,1,5 \}$; range: $\{ - 9 , - 5,0,7 \}$ 
C)  domain: $\{ 1,5,7 \}$; range: $\{ - 9 , - 6 , - 5 , - 1 \}$ 
D)  domain: $\{ - 9 , - 5,0,7 \}$; range: $\{ - 6 , - 1,1,5 \}$ 
A)  domain: $\{ - 9 , - 6 , - 5 , - 1 \}$; range: $\{ 1,5,7 \}$ 
B)  domain: $\{ - 6 , - 1,1,5 \}$; range: $\{ - 9 , - 5,0,7 \}$ 
C)  domain: $\{ 1,5,7 \}$; range: $\{ - 9 , - 6 , - 5 , - 1 \}$ 
D)  domain: $\{ - 9 , - 5,0,7 \}$; range: $\{ - 6 , - 1,1,5 \}$

Determine the intervals of the domain for which the function is increasing, decreasing, and constant. -

Evaluate the function. -Find $f \left( \frac { 1 } { 2 } \right)$ when $f ( x ) = - 2 x ^ { 2 } + 7 x - 2$

Graph the function. - $f(x)=-(x-6)^{2}+4$ $Graph the function. - f(x)=-(x-6)^{2}+4$

Determine whether the equation has a graph that is symmetric with respect to the y -axis, the x-axis, the origin, or none of these. - $y = 5 x ^ { 5 } - 3 x ^ { 3 }$

Determine whether the three points are collinear. -(5, -1), (-3, 6), (4, -2)

Graph the function. - $y = - \frac { 1 } { 5 } ( x - 5 ) ^ { 3 }$ $Graph the function. - y = - \frac { 1 } { 5 } ( x - 5 ) ^ { 3 }$

Determine the intervals of the domain for which the function is increasing, decreasing, and constant. -

Find the center-radius form of the circle described or graphed. -a circle having a diameter with endpoints $( - 3,3 )$ and $( - 6,2 )$

Solve the problem. -A circle has a diameter with endpoints $( - 2,1 )$ and $( 4,9 )$ . Find the radius.

Solve the problem. -Northwest Molded molds plastic handles which cost $0.40 per handle to mold. The fixed cost to run the molding machine is $6680 per week. If the company sells the handles for $4.40 each, how Many handles must be molded and sold weekly to break even?

Use a graphing calculator to solve the linear equation. - $10 y = 7 y + 9 + 2 y$

Use the graph to solve the problem. -At what time was the temperature $73 ^ { \circ }$ ?

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - $h(x)=4$

Match the description with the correct symbolic expression. -a line with a positive slope

An equation that defines y as a function of x is given. Solve for y in terms of x, and replace y with the function notation f(x). - $6 x - 8 y = 7$

Solve the problem. Write all linear equations in slope-intercept form. -The amount of time t it takes a flame to go out in a closed container is a linear function of the volume of the container x. A flame in 735 mL container takes 13 seconds to go out and a flame in

Decide whether the relation defines a function. - $y = \sqrt { 3 x - 2 }$

Give the domain and range of the relation. - $\{ ( 1,7 ) , ( - 1 , - 9 ) , ( - 6 , - 5 ) , ( 5,0 ) \}$

Equations and Inequalities

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Applications of Trigonometry

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

Review of Basic Concepts

Filters

Exam 2: Graphs and Functions

Determine the intervals of the domain for which the function is increasing, decreasing, and constant. -

Evaluate the function. -Find f(12)f \left( \frac { 1 } { 2 } \right)f(21​) when f(x)=−2x2+7x−2f ( x ) = - 2 x ^ { 2 } + 7 x - 2f(x)=−2x2+7x−2

Graph the function. - f(x)=−(x−6)2+4f(x)=-(x-6)^{2}+4f(x)=−(x−6)2+4

Determine whether the equation has a graph that is symmetric with respect to the y -axis, the x-axis, the origin, or none of these. - y=5x5−3x3y = 5 x ^ { 5 } - 3 x ^ { 3 }y=5x5−3x3

Determine whether the three points are collinear. -(5, -1), (-3, 6), (4, -2)

Graph the function. - y=−15(x−5)3y = - \frac { 1 } { 5 } ( x - 5 ) ^ { 3 }y=−51​(x−5)3

Determine the intervals of the domain for which the function is increasing, decreasing, and constant. -

Find the center-radius form of the circle described or graphed. -a circle having a diameter with endpoints (−3,3)( - 3,3 )(−3,3) and (−6,2)( - 6,2 )(−6,2)

Solve the problem. -A circle has a diameter with endpoints (−2,1)( - 2,1 )(−2,1) and (4,9)( 4,9 )(4,9) . Find the radius.

Solve the problem. -Northwest Molded molds plastic handles which cost $0.40 per handle to mold. The fixed cost to run the molding machine is $6680 per week. If the company sells the handles for $4.40 each, how Many handles must be molded and sold weekly to break even?

Solve the problem. -Sketch a graph showing the distance (in miles) that a person is from home after xxx hours if that individual drives at 35mph35 \mathrm { mph }35mph to a lake 70 miles away, stays at the lake 1.51.51.5 hours, and then returns home at a speed of 70mph70 \mathrm { mph }70mph .

Use a graphing calculator to solve the linear equation. - 10y=7y+9+2y10 y = 7 y + 9 + 2 y10y=7y+9+2y

Use the graph to solve the problem. -At what time was the temperature 73∘73 ^ { \circ }73∘ ?

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - h(x)=4h(x)=4h(x)=4

Match the description with the correct symbolic expression. -a line with a positive slope

An equation that defines y as a function of x is given. Solve for y in terms of x, and replace y with the function notation f(x). - 6x−8y=76 x - 8 y = 76x−8y=7

Solve the problem. Write all linear equations in slope-intercept form. -The amount of time t it takes a flame to go out in a closed container is a linear function of the volume of the container x. A flame in 735 mL container takes 13 seconds to go out and a flame in

Decide whether the relation defines a function. - y=3x−2y = \sqrt { 3 x - 2 }y=3x−2​

Give the domain and range of the relation. - {(1,7),(−1,−9),(−6,−5),(5,0)}\{ ( 1,7 ) , ( - 1 , - 9 ) , ( - 6 , - 5 ) , ( 5,0 ) \}{(1,7),(−1,−9),(−6,−5),(5,0)}

Equations and Inequalities

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Applications of Trigonometry

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

Review of Basic Concepts

Filters

Evaluate the function. -Find $f \left( \frac { 1 } { 2 } \right)$ when $f ( x ) = - 2 x ^ { 2 } + 7 x - 2$

Graph the function. - $f(x)=-(x-6)^{2}+4$ $Graph the function. - f(x)=-(x-6)^{2}+4$

Determine whether the equation has a graph that is symmetric with respect to the y -axis, the x-axis, the origin, or none of these. - $y = 5 x ^ { 5 } - 3 x ^ { 3 }$

Graph the function. - $y = - \frac { 1 } { 5 } ( x - 5 ) ^ { 3 }$ $Graph the function. - y = - \frac { 1 } { 5 } ( x - 5 ) ^ { 3 }$

Find the center-radius form of the circle described or graphed. -a circle having a diameter with endpoints $( - 3,3 )$ and $( - 6,2 )$

Solve the problem. -A circle has a diameter with endpoints $( - 2,1 )$ and $( 4,9 )$ . Find the radius.

Use a graphing calculator to solve the linear equation. - $10 y = 7 y + 9 + 2 y$

Use the graph to solve the problem. -At what time was the temperature $73 ^ { \circ }$ ?

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - $h(x)=4$

An equation that defines y as a function of x is given. Solve for y in terms of x, and replace y with the function notation f(x). - $6 x - 8 y = 7$

Decide whether the relation defines a function. - $y = \sqrt { 3 x - 2 }$

Give the domain and range of the relation. - $\{ ( 1,7 ) , ( - 1 , - 9 ) , ( - 6 , - 5 ) , ( 5,0 ) \}$