Question 1

Use the graph to find the value.  
-$( f + g ) ( 5 )$

Accepted Answer

A)  $- 12$ 
B)  6 
C)  4 
D)  $- 4$ 
A)  $- 12$ 
B)  6 
C)  4 
D)  $- 4$

Question 2

For the pair of functions, determine the domain of f + g.
-$$f ( x ) = 3 x ^ { 2 } + 1 , g ( x ) = 5 x ^ { 3 } - 7$$

Accepted Answer

A)  $( \infty , \infty )$ 
B)  $( \infty , 0 )$ 
C)  $( 0 , \infty )$ 
D)  $( \infty , 0 )$ or $( 0 , \infty )$ 
A)  $( \infty , \infty )$ 
B)  $( \infty , 0 )$ 
C)  $( 0 , \infty )$ 
D)  $( \infty , 0 )$ or $( 0 , \infty )$

Question 3

Use intercepts and a checkpoint to graph the linear function.
-$$- 2 x - 4 y = 4$$

Accepted Answer

A)  $( 0 , - 1 ) , ( 2,0 )$
  
B)  $( 0 , - 2 ) , ( - 1,0 )$
  
C)  $( 0,2 ) , ( 1,0 )$
  
D)  $( 0 , - 1 ) , ( - 2,0 )$
  
A)  $( 0 , - 1 ) , ( 2,0 )$
  
B)  $( 0 , - 2 ) , ( - 1,0 )$
  
C)  $( 0,2 ) , ( 1,0 )$
  
D)  $( 0 , - 1 ) , ( - 2,0 )$

Question 4

Rewrite the given equation in slope-intercept form by solving for y.
-$$h ( x ) = \frac { 3 } { 4 } x + 3$$

Accepted Answer

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

Question 5

Decide whether the relation is a function.
-Find $f ( 2 )$ when $f ( x ) = \frac { x ^ { 3 } - 5 } { x ^ { 2 } - 3 }$

Accepted Answer

A)  $\frac { 3 } { 4 }$ 
B)  3 
C)  8 
D)  $- 1$ 
A)  $\frac { 3 } { 4 }$ 
B)  3 
C)  8 
D)  $- 1$

Question 6

Decide whether the relation is a function.
-

Accepted Answer

A)  $g$ shifts the graph of $f$ vertically
 up 4 units 
  
B)  g shifts the graph of $f$ vertically
 down 4 units
  
C)  g shifts the graph of $f$ vertically
up 4 units
  
D)  $g$ shifts the graph of $f$ vertically
  down 4 units
  
A)  $g$ shifts the graph of $f$ vertically
 up 4 units 
  
B)  g shifts the graph of $f$ vertically
 down 4 units
  
C)  g shifts the graph of $f$ vertically
up 4 units
  
D)  $g$ shifts the graph of $f$ vertically
  down 4 units

Question 7

Use intercepts and a checkpoint to graph the linear function.
-$$2 x - 10 y = 10$$

Accepted Answer

A)  $( 0,5 ) , ( - 1,0 )$
  
B)  $( 0 , - 5 ) , ( 1,0 )$
  
C)  $( 0 , - 1 ) , ( 5,0 )$
  
D)  $( 0 , - 1 ) , ( - 5,0 )$
  
A)  $( 0,5 ) , ( - 1,0 )$
  
B)  $( 0 , - 5 ) , ( 1,0 )$
  
C)  $( 0 , - 1 ) , ( 5,0 )$
  
D)  $( 0 , - 1 ) , ( - 5,0 )$

Question 8

Use intercepts and a checkpoint to graph the linear function.
-$$y - \frac { 1 } { 2 } x = 2$$

Accepted Answer

A)  $( 0 , - 4 ) , ( 4,0 )$
  
B)  $( 0,2 ) , ( - 4,0 )$
  
C)  $( 0,2 ) , ( 4,0 )$
  
D)  $( 0,2 ) , ( - 2,0 )$
  
A)  $( 0 , - 4 ) , ( 4,0 )$
  
B)  $( 0,2 ) , ( - 4,0 )$
  
C)  $( 0,2 ) , ( 4,0 )$
  
D)  $( 0,2 ) , ( - 2,0 )$

Question 9

Find the slope then describe what it means in terms of the rate of change of the dependent variable per unit change in the independent variable.
-The linear function f(x) = 4.3x + 33 represents the percentage of people, f(x), who graduated from college x years after 1998.

Accepted Answer

A)  m = -4.3; the percentage of people graduating from college has decreased at a rate of 4.3% per year after 1998. 
B)  m = 4.3; the percentage of people graduating from college has increased at a rate of 4.3% per year after 1998. 
C)  m = 4.3; the percentage of people graduating from college has decreased at a rate of 4.3% per year after 1998. 
D)  m = 33; the percentage of people graduating from college has increased at a rate of 33% per year after 1998. 
A)  m = -4.3; the percentage of people graduating from college has decreased at a rate of 4.3% per year after 1998. 
B)  m = 4.3; the percentage of people graduating from college has increased at a rate of 4.3% per year after 1998. 
C)  m = 4.3; the percentage of people graduating from college has decreased at a rate of 4.3% per year after 1998. 
D)  m = 33; the percentage of people graduating from college has increased at a rate of 33% per year after 1998.

Question 10

Decide whether the relation is a function.
-{(-4, 6), (-1, 6), (2, 9), (6, 5)}

Accepted Answer

A)  not a function 
B)  function 
A)  not a function 
B)  function

Question 11

Rewrite the given equation in slope-intercept form by solving for y.
-$$f ( x ) = - \frac { 1 } { 3 } x$$

Accepted Answer

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

Question 12

Find the slope of the line that goes through the given points.
-$$( - 8 , - 9 ) , ( - 8,5 )$$

Accepted Answer

A)  $\frac { 1 } { 4 }$ 
B)  Undefined 
C)  $\frac { 7 } { 8 }$ 
D)  0 
A)  $\frac { 1 } { 4 }$ 
B)  Undefined 
C)  $\frac { 7 } { 8 }$ 
D)  0

Question 13

Find the requested value.
-$$f ( x ) = 5 x ^ { 2 } - 4 , g ( x ) = x - 7$$
Find $( f - g ) ( 4 )$.

Accepted Answer

A)  79 
B)  65 
C)  $- 80$ 
D)  87 
A)  79 
B)  65 
C)  $- 80$ 
D)  87

Question 14

Use the graph to find the value.  
-$\left( \frac { f } { g } \right) ( 6 )$

Accepted Answer

A)  $\frac { 1 } { 2 }$ 
B)  2 
C)  $- 2$ 
D)  $- \frac { 1 } { 2 }$ 
A)  $\frac { 1 } { 2 }$ 
B)  2 
C)  $- 2$ 
D)  $- \frac { 1 } { 2 }$

Question 15

Find the domain of the function.
-$$f ( x ) = \frac { - 5 x } { x + 3 }$$

Accepted Answer

A)  $( \infty , - 3 )$ or $( - 3 , \infty )$ 
B)  $( \infty , \infty )$ 
C)  $( - , - 3 )$ 
D)  $( x , 0 )$ or $( 0 , \infty )$ 
A)  $( \infty , - 3 )$ or $( - 3 , \infty )$ 
B)  $( \infty , \infty )$ 
C)  $( - , - 3 )$ 
D)  $( x , 0 )$ or $( 0 , \infty )$

Question 16

Use the vertical line test to determine whether or not the graph is a graph of a function.
-

Accepted Answer

A)  not a function 
B)  function 
A)  not a function 
B)  function

Question 17

Use the vertical line test to determine whether or not the graph is a graph of a function.
-

Accepted Answer

A)  not a function 
B)  function 
A)  not a function 
B)  function

Question 18

Decide whether the relation is a function.
-$$f ( x ) = x ^ { 3 } , g ( x ) = x ^ { 3 } + 2$$

Accepted Answer

A)  $g$ shifts the graph of $f$ vertically
up 2 units
  
B)  $g$ shifts the graph of $f$ vertically
 down 2 units
  
C)  $g$ shifts the graph of $f$ vertically
up 2 units 
  
D)  g shifts the graph of $f$ vertically
down 2 units
  
A)  $g$ shifts the graph of $f$ vertically
up 2 units
  
B)  $g$ shifts the graph of $f$ vertically
 down 2 units
  
C)  $g$ shifts the graph of $f$ vertically
up 2 units 
  
D)  g shifts the graph of $f$ vertically
down 2 units

Question 19

Decide whether the relation is a function.
-

Accepted Answer

A)  $g$ shifts the graph of $f$ vertically
 down 3 units 
  
B)  $g$ shifts the graph of $f$ vertically
up 3 units
  
C)  g shifts the graph of $f$ vertically
up 3 units
  
D)  $g$ shifts the graph of $f$ vertically  
down 3 units
  
A)  $g$ shifts the graph of $f$ vertically
 down 3 units 
  
B)  $g$ shifts the graph of $f$ vertically
up 3 units
  
C)  g shifts the graph of $f$ vertically
up 3 units
  
D)  $g$ shifts the graph of $f$ vertically  
down 3 units

Question 20

Decide whether the relation is a function.
-Find f(0) when f(x) = x² - 5x - 4.

Accepted Answer

A)  4 
B)  0 
C)  16 
D)  -4 
A)  4 
B)  0 
C)  16 
D)  -4

Use the graph to find the value. - $( f + g ) ( 5 )$

For the pair of functions, determine the domain of f + g. - $f ( x ) = 3 x ^ { 2 } + 1 , g ( x ) = 5 x ^ { 3 } - 7$

Use intercepts and a checkpoint to graph the linear function. - $- 2 x - 4 y = 4$

Rewrite the given equation in slope-intercept form by solving for y. - $h ( x ) = \frac { 3 } { 4 } x + 3$ $Rewrite the given equation in slope-intercept form by solving for y. - h ( x ) = \frac { 3 } { 4 } x + 3$

Decide whether the relation is a function. -Find $f ( 2 )$ when $f ( x ) = \frac { x ^ { 3 } - 5 } { x ^ { 2 } - 3 }$

Decide whether the relation is a function. -

Use intercepts and a checkpoint to graph the linear function. - $2 x - 10 y = 10$

Use intercepts and a checkpoint to graph the linear function. - $y - \frac { 1 } { 2 } x = 2$ $Use intercepts and a checkpoint to graph the linear function. - y - \frac { 1 } { 2 } x = 2$

Find the slope then describe what it means in terms of the rate of change of the dependent variable per unit change in the independent variable. -The linear function f(x) = 4.3x + 33 represents the percentage of people, f(x), who graduated from college x years after 1998.

Decide whether the relation is a function. -{(-4, 6), (-1, 6), (2, 9), (6, 5)}

Rewrite the given equation in slope-intercept form by solving for y. - $f ( x ) = - \frac { 1 } { 3 } x$ $Rewrite the given equation in slope-intercept form by solving for y. - f ( x ) = - \frac { 1 } { 3 } x$

Find the slope of the line that goes through the given points. - $( - 8 , - 9 ) , ( - 8,5 )$

Find the requested value. - $f ( x ) = 5 x ^ { 2 } - 4 , g ( x ) = x - 7$ Find $( f - g ) ( 4 )$ .

Use the graph to find the value. $Use the graph to find the value. - \left( \frac { f } { g } \right) ( 6 )$ - $\left( \frac { f } { g } \right) ( 6 )$

Find the domain of the function. - $f ( x ) = \frac { - 5 x } { x + 3 }$

Use the vertical line test to determine whether or not the graph is a graph of a function. -

Use the vertical line test to determine whether or not the graph is a graph of a function. -

Decide whether the relation is a function. - $f ( x ) = x ^ { 3 } , g ( x ) = x ^ { 3 } + 2$ $Decide whether the relation is a function. - f ( x ) = x ^ { 3 } , g ( x ) = x ^ { 3 } + 2$

Decide whether the relation is a function. -

Decide whether the relation is a function. -Find f(0) when f(x) = x² - 5x - 4.

Algebra, Mathematical Models, and Problem Solving

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Exam 2: Functions and Linear Functions

Use the graph to find the value. - (f+g)(5)( f + g ) ( 5 )(f+g)(5)

For the pair of functions, determine the domain of f + g. - f(x)=3x2+1,g(x)=5x3−7f ( x ) = 3 x ^ { 2 } + 1 , g ( x ) = 5 x ^ { 3 } - 7f(x)=3x2+1,g(x)=5x3−7

Use intercepts and a checkpoint to graph the linear function. - −2x−4y=4- 2 x - 4 y = 4−2x−4y=4

Rewrite the given equation in slope-intercept form by solving for y. - h(x)=34x+3h ( x ) = \frac { 3 } { 4 } x + 3h(x)=43​x+3

Decide whether the relation is a function. -Find f(2)f ( 2 )f(2) when f(x)=x3−5x2−3f ( x ) = \frac { x ^ { 3 } - 5 } { x ^ { 2 } - 3 }f(x)=x2−3x3−5​

Decide whether the relation is a function. -

Use intercepts and a checkpoint to graph the linear function. - 2x−10y=102 x - 10 y = 102x−10y=10

Use intercepts and a checkpoint to graph the linear function. - y−12x=2y - \frac { 1 } { 2 } x = 2y−21​x=2

Find the slope then describe what it means in terms of the rate of change of the dependent variable per unit change in the independent variable. -The linear function f(x) = 4.3x + 33 represents the percentage of people, f(x), who graduated from college x years after 1998.

Decide whether the relation is a function. -{(-4, 6), (-1, 6), (2, 9), (6, 5)}

Rewrite the given equation in slope-intercept form by solving for y. - f(x)=−13xf ( x ) = - \frac { 1 } { 3 } xf(x)=−31​x

Find the slope of the line that goes through the given points. - (−8,−9),(−8,5)( - 8 , - 9 ) , ( - 8,5 )(−8,−9),(−8,5)

Find the requested value. - f(x)=5x2−4,g(x)=x−7f ( x ) = 5 x ^ { 2 } - 4 , g ( x ) = x - 7f(x)=5x2−4,g(x)=x−7 Find (f−g)(4)( f - g ) ( 4 )(f−g)(4) .

Use the graph to find the value. - (fg)(6)\left( \frac { f } { g } \right) ( 6 )(gf​)(6)

Find the domain of the function. - f(x)=−5xx+3f ( x ) = \frac { - 5 x } { x + 3 }f(x)=x+3−5x​

Use the vertical line test to determine whether or not the graph is a graph of a function. -

Use the vertical line test to determine whether or not the graph is a graph of a function. -

Decide whether the relation is a function. - f(x)=x3,g(x)=x3+2f ( x ) = x ^ { 3 } , g ( x ) = x ^ { 3 } + 2f(x)=x3,g(x)=x3+2

Decide whether the relation is a function. -

Decide whether the relation is a function. -Find f(0) when f(x) = x² - 5x - 4.

Algebra, Mathematical Models, and Problem Solving

Systems of Linear Equations

Inequalities and Problem Solving

Polynomials, Polynomial Functions, and Factoring

Rational Expressions, Functions, and Equations

Radicals, Radical Functions, and Rational Exponents

Quadratic Equations and Functions

Filters

Use the graph to find the value. - $( f + g ) ( 5 )$

For the pair of functions, determine the domain of f + g. - $f ( x ) = 3 x ^ { 2 } + 1 , g ( x ) = 5 x ^ { 3 } - 7$

Use intercepts and a checkpoint to graph the linear function. - $- 2 x - 4 y = 4$

Rewrite the given equation in slope-intercept form by solving for y. - $h ( x ) = \frac { 3 } { 4 } x + 3$ $Rewrite the given equation in slope-intercept form by solving for y. - h ( x ) = \frac { 3 } { 4 } x + 3$

Decide whether the relation is a function. -Find $f ( 2 )$ when $f ( x ) = \frac { x ^ { 3 } - 5 } { x ^ { 2 } - 3 }$

Use intercepts and a checkpoint to graph the linear function. - $2 x - 10 y = 10$

Use intercepts and a checkpoint to graph the linear function. - $y - \frac { 1 } { 2 } x = 2$ $Use intercepts and a checkpoint to graph the linear function. - y - \frac { 1 } { 2 } x = 2$

Rewrite the given equation in slope-intercept form by solving for y. - $f ( x ) = - \frac { 1 } { 3 } x$ $Rewrite the given equation in slope-intercept form by solving for y. - f ( x ) = - \frac { 1 } { 3 } x$

Find the slope of the line that goes through the given points. - $( - 8 , - 9 ) , ( - 8,5 )$

Find the requested value. - $f ( x ) = 5 x ^ { 2 } - 4 , g ( x ) = x - 7$ Find $( f - g ) ( 4 )$ .

Use the graph to find the value. $Use the graph to find the value. - \left( \frac { f } { g } \right) ( 6 )$ - $\left( \frac { f } { g } \right) ( 6 )$

Find the domain of the function. - $f ( x ) = \frac { - 5 x } { x + 3 }$

Decide whether the relation is a function. - $f ( x ) = x ^ { 3 } , g ( x ) = x ^ { 3 } + 2$ $Decide whether the relation is a function. - f ( x ) = x ^ { 3 } , g ( x ) = x ^ { 3 } + 2$