Question 1

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

Accepted Answer

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 $( 0 , \infty )$

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)  $( 0 , - 1 ) , ( - 2,0 )$

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)

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)  $- 1$

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

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)  $( 0 , - 1 ) , ( - 5,0 )$

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)  $( 0,2 ) , ( - 2,0 )$

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.

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

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)

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

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

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)  $- \frac { 1 } { 2 }$

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 $( 0 , \infty )$

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

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

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

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

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

Exam 2: Functions and Linear Functions

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

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. - $y - \frac { 1 } { 2 } x = 2$ $Use intercepts and a checkpoint to graph the linear function. - y - \frac { 1 } { 2 } x = 2 A) ( 0 , - 4 ) , ( 4,0 ) B) ( 0,2 ) , ( - 4,0 ) C) ( 0,2 ) , ( 4,0 ) D) ( 0,2 ) , ( - 2,0 )$

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

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. $Use the graph to find the value. - \left( \frac { f } { g } \right) ( 6 ) A) \frac { 1 } { 2 } B) 2 C) - 2 D) - \frac { 1 } { 2 }$ - $\left( \frac { f } { g } \right) ( 6 )$

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. -

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

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.

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

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. - $y - \frac { 1 } { 2 } x = 2$ $Use intercepts and a checkpoint to graph the linear function. - y - \frac { 1 } { 2 } x = 2 A) ( 0 , - 4 ) , ( 4,0 ) B) ( 0,2 ) , ( - 4,0 ) C) ( 0,2 ) , ( 4,0 ) D) ( 0,2 ) , ( - 2,0 )$

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

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. $Use the graph to find the value. - \left( \frac { f } { g } \right) ( 6 ) A) \frac { 1 } { 2 } B) 2 C) - 2 D) - \frac { 1 } { 2 }$ - $\left( \frac { f } { g } \right) ( 6 )$

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