Question 1

Determine whether the given function is even, odd, or neither.
-$$f ( x ) = - 2 x ^ { 5 } + x ^ { 3 }$$

Accepted Answer

A)  Odd 
B)  Even 
C)  Neither

Question 2

Find the midpoint of the line segment whose end points are given.
-$( 2,1 )$ and $( 1,7 )$

Accepted Answer

A)  $\left( \frac { 3 } { 2 } , 4 \right)$ 
B)  $\left( \frac { 1 } { 2 } , - 3 \right)$ 
C)  $( 1 , - 6 )$ 
D)  $( 3,8 )$

Question 3

Determine whether the given function is even, odd, or neither.
-

Accepted Answer

A)  Odd 
B)  Even 
C)  Neither

Question 4

Find the midpoint of the line segment whose end points are given.
-$( 5 , - 8 )$ and $( - 8 , - 3 )$

Accepted Answer

A)  $\left( - \frac { 3 } { 2 } , - \frac { 11 } { 2 } \right)$ 
B)  $\left( \frac { 13 } { 2 } , - \frac { 5 } { 2 } \right)$ 
C)  $( 13 , - 5 )$ 
D)  $( - 3 , - 11 )$

Question 5

Find the center and the radius of the circle.
-$$( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 4$$

Accepted Answer

A)

Domain $= ( 1,5 )$, Range $= ( - 1,3 )$ 
B)

Domain $= ( - 5 , - 1 )$, Range $= ( - 3,1 )$

Question 6

Given functions f and g, perform the indicated operations.
-$$f ( x ) = 3 x ^ { 2 } + 5 , \quad g ( x ) = 2 x ^ { 3 } - 1$$

Accepted Answer

A)  $( - \infty , \infty )$ 
B)  $( - \infty , 0 )$ or $( 0 , \infty )$ 
C)  $( 0 , \infty )$ 
D)  $( - \infty , - 3 )$ or $( - 3 , - 2 )$ or $( - 2 , \infty )$ Find the domain of the indicated combined function.

Question 7

Begin by graphing the standard absolute value function f(x) = x . Then use transformations of this graph to graph the given function.
-$$g ( x ) = | x | + 2$$

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 8

Identify the intercepts.
-

Accepted Answer

A)  $( - 2,0 ) , ( 0,8 )$ 
B)  $( - 2,0 ) , ( 0 , - 8 )$ 
C)  $( 2,0 ) , ( 0,8 )$ 
D)  $( - 2 , - 2 ) , ( 8,8 )$

Question 9

Determine the slope and the y-intercept of the graph of the equation.
-$11 x - 10 y - 110 = 0$

Accepted Answer

A)  $\mathrm { m } = \frac { 11 } { 10 } ; ( 0 , - 11 )$ 
B)  $\mathrm { m } = - \frac { 11 } { 10 } ; ( 0,11 )$ 
C) $ \mathrm { m } = \frac { 10 } { 11 } ; ( 0,10 )$ 
D)  $m = 11 ; ( 0,110 )$

Question 10

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use
the graph to answer the question. $$\text { Percent of Students in College of Engineering }$$

-Between what two years is the difference in function values equal to 5%?

Accepted Answer

A)  between 1980 and 1985 
B)  between 1985 and 1990 
C)  between 1970 and 1975 
D)  between 1960 and 1965

Question 11

For the given functions f and g , find the indicated composition.
-$$f ( x ) = 5 x + 14 , \quad g ( x ) = 4 x - 1$$
$( f \circ g ) ( x )$

Accepted Answer

A)  $20 x + 9$ 
B)  $20 x + 19$ 
C)  $20 x + 13$ 
D)  $20 x + 55$

Question 12

Identify the intercepts.
-

Accepted Answer

A)  $( - 3,0 ) , ( 0,6 )$ 
B)  $( 3,0 ) , ( 0,6 )$ 
C)  $( - 3,0 ) , ( 0 , - 6 )$ 
D)  $( - 6,0 ) , ( 0,6 )$

Question 13

Use the graph of f to draw the graph of its inverse function.
-

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 14

Given functions f and g, perform the indicated operations.
-Find the domain of $\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } )$ when $\mathrm { f } ( \mathrm { x } ) = 8 \mathrm { x } ^ { 2 } - 4 \mathrm { x }$ and $\mathrm { g } ( \mathrm { x } ) = \mathrm { x } ^ { 2 } - 8 \mathrm { x } - 6$.

Accepted Answer

A)  Domain: $( - \infty , 4 - \sqrt { 22 } ) \cup ( 4 - \sqrt { 22 } , 4 + \sqrt { 22 } ) \cup ( 4 + \sqrt { 22 } , \infty )$ 
B)  Domain: $( - \infty , \infty )$ 
C)  Domain: $( - \infty , 4 - \sqrt { 22 } ) \cup ( 4 - \sqrt { 22 } , \infty )$ 
D)  Domain: $( - \infty , 4 - \sqrt { 22 } ) \cap ( 4 - \sqrt { 22 } , 4 + \sqrt { 22 } ) \cap ( 4 - \sqrt { 22 } , \infty )$

Question 15

Begin by graphing the standard cubic function f(x) $$f ( x ) = x ^ { 3 }$$ . Then use transformations of this graph to graph the given function.
-$$g ( x ) = \frac { 1 } { 3 } x ^ { 3 }$$

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 16

Use the given conditions to write an equation for the line in point-slope form.
-Slope $= 2$, passing through $( 7,2 )$

Accepted Answer

A)  $y - 2 = 2 ( x - 7 )$ 
B)  $y + 2 = 2 ( x + 7 )$ 
C)  $x - 2 = 2 ( y - 7 )$ 
D)  $y = 2 x - 12$

Question 17

Find an equation for the line with the given properties.
-Passing through $( 2,2 )$ and perpendicular to the line whose equation is $y = \frac { 1 } { 5 } x + 7$; slope-intercept form

Accepted Answer

A)  $y = - 5 x + 12$ 
B)  $y = 5 x - 12$ 
C)  $y = - 5 x - 12$ 
D)  $y = - \frac { 1 } { 5 } x - \frac { 12 } { 5 }$

Question 18

Use the given conditions to write an equation for the line in slope-intercept form.
-$y=3 x-3$

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 19

Use the given conditions to write an equation for the line in slope-intercept form.
-Passing through $( 2,7 )$ and $( 5,5 )$

Accepted Answer

A)  $y = - \frac { 2 } { 3 } x + \frac { 25 } { 3 }$ 
B)  $y = m x + \frac { 25 } { 3 }$ 
C)  $y - 7 = - \frac { 2 } { 3 } ( x - 2 )$ 
D)  $y = \frac { 2 } { 3 } x + \frac { 25 } { 3 }$

Question 20

Find the slope of the line that goes through the given points..
-$$( - 2 , - 4 ) , ( - 2,7 )$$

Accepted Answer

A)  Undefined 
B)  0 
C)  $- \frac { 3 } { 4 }$ 
D)  $\frac { 11 } { 4 }$

Exam 2: Functions and Graphs

Determine whether the given function is even, odd, or neither. - $f ( x ) = - 2 x ^ { 5 } + x ^ { 3 }$

Find the midpoint of the line segment whose end points are given. - $( 2,1 )$ and $( 1,7 )$

Determine whether the given function is even, odd, or neither. -

Find the midpoint of the line segment whose end points are given. - $( 5 , - 8 )$ and $( - 8 , - 3 )$

Find the center and the radius of the circle. - $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 4$ $Find the center and the radius of the circle. - ( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 4 A) Domain = ( 1,5 ) , Range = ( - 1,3 ) B) Domain = ( - 5 , - 1 ) , Range = ( - 3,1 )$

Given functions f and g, perform the indicated operations. - $f ( x ) = 3 x ^ { 2 } + 5 , \quad g ( x ) = 2 x ^ { 3 } - 1$

Begin by graphing the standard absolute value function f(x) = x . Then use transformations of this graph to graph the given function. - $g ( x ) = | x | + 2$

Identify the intercepts. -

Determine the slope and the y-intercept of the graph of the equation. - $11 x - 10 y - 110 = 0$

For the given functions f and g , find the indicated composition. - $f ( x ) = 5 x + 14 , \quad g ( x ) = 4 x - 1$ $( f \circ g ) ( x )$

Identify the intercepts. -

Use the graph of f to draw the graph of its inverse function. -

Use the given conditions to write an equation for the line in point-slope form. -Slope $= 2$ , passing through $( 7,2 )$

Find an equation for the line with the given properties. -Passing through $( 2,2 )$ and perpendicular to the line whose equation is $y = \frac { 1 } { 5 } x + 7$ ; slope-intercept form

Use the given conditions to write an equation for the line in slope-intercept form. - $y=3 x-3$

Use the given conditions to write an equation for the line in slope-intercept form. -Passing through $( 2,7 )$ and $( 5,5 )$

Find the slope of the line that goes through the given points.. - $( - 2 , - 4 ) , ( - 2,7 )$

Exam 2: Functions and Graphs

Determine whether the given function is even, odd, or neither. - f(x) =−2x5+x3f ( x ) = - 2 x ^ { 5 } + x ^ { 3 }f(x) =−2x5+x3

Find the midpoint of the line segment whose end points are given. - (2,1) ( 2,1 ) (2,1) and (1,7) ( 1,7 ) (1,7)

Determine whether the given function is even, odd, or neither. -

Find the midpoint of the line segment whose end points are given. - (5,−8) ( 5 , - 8 ) (5,−8) and (−8,−3) ( - 8 , - 3 ) (−8,−3)

Find the center and the radius of the circle. - (x−3) 2+(y−1) 2=4( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 4(x−3) 2+(y−1) 2=4

Given functions f and g, perform the indicated operations. - f(x) =3x2+5,g(x) =2x3−1f ( x ) = 3 x ^ { 2 } + 5 , \quad g ( x ) = 2 x ^ { 3 } - 1f(x) =3x2+5,g(x) =2x3−1

Begin by graphing the standard absolute value function f(x) = x . Then use transformations of this graph to graph the given function. - g(x) =∣x∣+2g ( x ) = | x | + 2g(x) =∣x∣+2

Identify the intercepts. -

Determine the slope and the y-intercept of the graph of the equation. - 11x−10y−110=011 x - 10 y - 110 = 011x−10y−110=0

For the given functions f and g , find the indicated composition. - f(x) =5x+14,g(x) =4x−1f ( x ) = 5 x + 14 , \quad g ( x ) = 4 x - 1f(x) =5x+14,g(x) =4x−1 (f∘g) (x) ( f \circ g ) ( x ) (f∘g) (x)

Identify the intercepts. -

Use the graph of f to draw the graph of its inverse function. -

Begin by graphing the standard cubic function f(x) f(x) =x3f ( x ) = x ^ { 3 }f(x) =x3 . Then use transformations of this graph to graph the given function. - g(x) =13x3g ( x ) = \frac { 1 } { 3 } x ^ { 3 }g(x) =31​x3

Use the given conditions to write an equation for the line in point-slope form. -Slope =2= 2=2 , passing through (7,2) ( 7,2 ) (7,2)

Find an equation for the line with the given properties. -Passing through (2,2) ( 2,2 ) (2,2) and perpendicular to the line whose equation is y=15x+7y = \frac { 1 } { 5 } x + 7y=51​x+7 ; slope-intercept form

Use the given conditions to write an equation for the line in slope-intercept form. - y=3x−3y=3 x-3y=3x−3

Use the given conditions to write an equation for the line in slope-intercept form. -Passing through (2,7) ( 2,7 ) (2,7) and (5,5) ( 5,5 ) (5,5)

Find the slope of the line that goes through the given points.. - (−2,−4) ,(−2,7) ( - 2 , - 4 ) , ( - 2,7 ) (−2,−4) ,(−2,7)

Determine whether the given function is even, odd, or neither. - $f ( x ) = - 2 x ^ { 5 } + x ^ { 3 }$

Find the midpoint of the line segment whose end points are given. - $( 2,1 )$ and $( 1,7 )$

Find the midpoint of the line segment whose end points are given. - $( 5 , - 8 )$ and $( - 8 , - 3 )$

Find the center and the radius of the circle. - $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 4$ $Find the center and the radius of the circle. - ( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 4 A) Domain = ( 1,5 ) , Range = ( - 1,3 ) B) Domain = ( - 5 , - 1 ) , Range = ( - 3,1 )$

Given functions f and g, perform the indicated operations. - $f ( x ) = 3 x ^ { 2 } + 5 , \quad g ( x ) = 2 x ^ { 3 } - 1$

Begin by graphing the standard absolute value function f(x) = x . Then use transformations of this graph to graph the given function. - $g ( x ) = | x | + 2$

Determine the slope and the y-intercept of the graph of the equation. - $11 x - 10 y - 110 = 0$

For the given functions f and g , find the indicated composition. - $f ( x ) = 5 x + 14 , \quad g ( x ) = 4 x - 1$ $( f \circ g ) ( x )$

Use the given conditions to write an equation for the line in point-slope form. -Slope $= 2$ , passing through $( 7,2 )$

Find an equation for the line with the given properties. -Passing through $( 2,2 )$ and perpendicular to the line whose equation is $y = \frac { 1 } { 5 } x + 7$ ; slope-intercept form

Use the given conditions to write an equation for the line in slope-intercept form. - $y=3 x-3$

Use the given conditions to write an equation for the line in slope-intercept form. -Passing through $( 2,7 )$ and $( 5,5 )$

Find the slope of the line that goes through the given points.. - $( - 2 , - 4 ) , ( - 2,7 )$