Question 1

Use the given conditions to write an equation for the line in slope-intercept form.
-Slope $= \frac { 4 } { 5 }$, passing through $( 2,7 )$

Accepted Answer

A)  $y = \frac { 4 } { 5 } x - \frac { 27 } { 5 }$ 
B)  $y = m x + \frac { 27 } { 5 }$ 
C)  $y = \frac { 4 } { 5 } x + 2$ 
D)  $y = \frac { 4 } { 5 } x + \frac { 27 } { 5 }$ 
A)  $y = \frac { 4 } { 5 } x - \frac { 27 } { 5 }$ 
B)  $y = m x + \frac { 27 } { 5 }$ 
C)  $y = \frac { 4 } { 5 } x + 2$ 
D)  $y = \frac { 4 } { 5 } x + \frac { 27 } { 5 }$

Question 2

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the
graph to answer the question.
  
-Between what two years is the difference in function values equal to 5%?

Accepted Answer

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

Question 3

Use the given conditions to write an equation for the line in point-slope form.
-Passing through $( 7,3 )$ and $( 5,2 )$

Accepted Answer

A)  $y - 3 = \frac { 1 } { 2 } ( x - 5 )$ or $y - 2 = \frac { 1 } { 2 } ( x - 7 )$ 
B)  $y - 3 = 7 ( x + 7 )$ or $y - 2 = 5 ( x - 3 )$ 
C)  $y + 3 = \frac { 1 } { 2 } ( x + 7 )$ or $y + 2 = \frac { 1 } { 2 } ( x + 5 )$ 
D)  $y - 3 = \frac { 1 } { 2 } ( x - 7 )$ or $y - 2 = \frac { 1 } { 2 } ( x - 5 )$ 
A)  $y - 3 = \frac { 1 } { 2 } ( x - 5 )$ or $y - 2 = \frac { 1 } { 2 } ( x - 7 )$ 
B)  $y - 3 = 7 ( x + 7 )$ or $y - 2 = 5 ( x - 3 )$ 
C)  $y + 3 = \frac { 1 } { 2 } ( x + 7 )$ or $y + 2 = \frac { 1 } { 2 } ( x + 5 )$ 
D)  $y - 3 = \frac { 1 } { 2 } ( x - 7 )$ or $y - 2 = \frac { 1 } { 2 } ( x - 5 )$

Question 4

Identify the intercepts
-

Accepted Answer

A)  $( - 1,0 ) , ( 0,6 )$ 
B)  $( - 1,0 ) , ( 0 , - 6 )$ 
C)  $( 1,0 ) , ( 0,6 )$ 
D)  $( - 6,0 ) , ( 0,6 )$ 
A)  $( - 1,0 ) , ( 0,6 )$ 
B)  $( - 1,0 ) , ( 0 , - 6 )$ 
C)  $( 1,0 ) , ( 0,6 )$ 
D)  $( - 6,0 ) , ( 0,6 )$

Question 5

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

Accepted Answer

A)  Neither 
B)  Odd 
C)  Even 
A)  Neither 
B)  Odd 
C)  Even

Question 6

Determine whether the relation is a function.
-{(-4, -4), (-2, 1), (-1, -7), (5, -9)}

Accepted Answer

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

Question 7

Use the given conditions to write an equation for the line in point-slope form.
-Slope $= \frac { 5 } { 6 }$, passing through $( 3,5 )$

Accepted Answer

A)  $x - 5 = \frac { 5 } { 6 } ( y - 3 )$ 
B)  $y - 5 = \frac { 5 } { 6 } ( x - 3 )$ 
C)  $y + 5 = \frac { 5 } { 6 } ( x + 3 )$ 
D)  $y = \frac { 5 } { 6 } x + 3$ 
A)  $x - 5 = \frac { 5 } { 6 } ( y - 3 )$ 
B)  $y - 5 = \frac { 5 } { 6 } ( x - 3 )$ 
C)  $y + 5 = \frac { 5 } { 6 } ( x + 3 )$ 
D)  $y = \frac { 5 } { 6 } x + 3$

Question 8

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

Accepted Answer

A)  Neither 
B)  Even 
C)  Odd 
A)  Neither 
B)  Even 
C)  Odd

Question 9

Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph
of f.
-$f(x)=x, g(x)=x-2$

Accepted Answer

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

Question 10

Use the given conditions to write an equation for the line in point-slope form.
-Passing through $( - 4 , - 4 )$ and $( - 2 , - 7 )$

Accepted Answer

A)  $y + 4 = - \frac { 3 } { 2 } ( x + 4 )$ or $y + 7 = - \frac { 3 } { 2 } ( x + 2 )$ 
B)  $y - 4 = - \frac { 3 } { 2 } ( x - 4 )$ or $y - 7 = - \frac { 3 } { 2 } ( x - 2 )$ 
C)  $y + 4 = - \frac { 3 } { 2 } x - 4$ or $y + 7 = - \frac { 3 } { 2 } x + 4$ 
D)  $y + 4 = - \frac { 3 } { 2 } ( x + 2 )$ or $y + 7 = - \frac { 3 } { 2 } ( x + 4 )$ 
A)  $y + 4 = - \frac { 3 } { 2 } ( x + 4 )$ or $y + 7 = - \frac { 3 } { 2 } ( x + 2 )$ 
B)  $y - 4 = - \frac { 3 } { 2 } ( x - 4 )$ or $y - 7 = - \frac { 3 } { 2 } ( x - 2 )$ 
C)  $y + 4 = - \frac { 3 } { 2 } x - 4$ or $y + 7 = - \frac { 3 } { 2 } x + 4$ 
D)  $y + 4 = - \frac { 3 } { 2 } ( x + 2 )$ or $y + 7 = - \frac { 3 } { 2 } ( x + 4 )$

Question 11

Use the given conditions to write an equation for the line in slope-intercept form.
-Slope $= 2$, passing through $( - 6,3 )$

Accepted Answer

A)  $y - 3 = x + 6$ 
B)  $y = 2 x - 15$ 
C)  $y - 3 = 2 x + 6$ 
D)  $y = 2 x + 15$ 
A)  $y - 3 = x + 6$ 
B)  $y = 2 x - 15$ 
C)  $y - 3 = 2 x + 6$ 
D)  $y = 2 x + 15$

Question 12

Evaluate the function at the given value of the independent variable and simplify.
-$$g ( x ) = 3 x + 1 ; \quad g ( x + 1 )$$

Accepted Answer

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

Question 13

Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph
of f.
-$(x)=|x|, g(x)=|x|+2$

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 14

Determine whether the equation defines y as a function of x.
-$$x ^ { 2 } + y ^ { 2 } = 9$$

Accepted Answer

A)  $y$ is a function of $x$ 
B)  $y$ is not a function of $x$ 
A)  $y$ is a function of $x$ 
B)  $y$ is not a function of $x$

Question 15

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

Accepted Answer

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

Question 16

Use the given conditions to write an equation for the line in slope-intercept form.
-Passing through $( 1 , - 8 )$ and $( - 7,8 )$

Accepted Answer

A)  $y + 8 = - 2 ( x - 1 )$ 
B)  $y = m x - 6$ 
C)  $y = - 2 x - 6$ 
D)  $y = 2 x - 6$ 
A)  $y + 8 = - 2 ( x - 1 )$ 
B)  $y = m x - 6$ 
C)  $y = - 2 x - 6$ 
D)  $y = 2 x - 6$

Question 17

Determine whether the equation defines y as a function of x.
-$$| x | - y = 9$$

Accepted Answer

A)  $y$ is a function of $x$ 
B)  $y$ is not a function of $x$ 
A)  $y$ is a function of $x$ 
B)  $y$ is not a function of $x$

Question 18

Determine whether the relation is a function.
-{(-6, 9), (-3, 6), (2, 2), (8, 4)}

Accepted Answer

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

Question 19

Evaluate the function at the given value of the independent variable and simplify.
-$$f ( x ) = \frac { x ^ { 2 } + 6 } { x ^ { 3 } - 5 x } ; \quad f ( - 4 )$$

Accepted Answer

A)  $- \frac { 1 } { 2 }$ 
B)  $- \frac { 4 } { 11 }$ 
C)  $- \frac { 11 } { 32 }$ 
D)  $- \frac { 22 } { 69 }$ 
A)  $- \frac { 1 } { 2 }$ 
B)  $- \frac { 4 } { 11 }$ 
C)  $- \frac { 11 } { 32 }$ 
D)  $- \frac { 22 } { 69 }$

Question 20

Evaluate the function at the given value of the independent variable and simplify.
-$$f ( x ) = \sqrt { x + 6 } ; \quad f ( - 2 )$$

Accepted Answer

A)  $1.41$ 
B)  2 
C)  $- 2$ 
D)  not a real number 
A)  $1.41$ 
B)  2 
C)  $- 2$ 
D)  not a real number

Use the given conditions to write an equation for the line in slope-intercept form. -Slope $= \frac { 4 } { 5 }$ , passing through $( 2,7 )$

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. -Between what two years is the difference in function values equal to 5%?

Use the given conditions to write an equation for the line in point-slope form. -Passing through $( 7,3 )$ and $( 5,2 )$

Identify the intercepts -

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

Determine whether the relation is a function. -{(-4, -4), (-2, 1), (-1, -7), (5, -9)}

Use the given conditions to write an equation for the line in point-slope form. -Slope $= \frac { 5 } { 6 }$ , passing through $( 3,5 )$

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

Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph of f. - $f(x)=x, g(x)=x-2$

Use the given conditions to write an equation for the line in point-slope form. -Passing through $( - 4 , - 4 )$ and $( - 2 , - 7 )$

Use the given conditions to write an equation for the line in slope-intercept form. -Slope $= 2$ , passing through $( - 6,3 )$

Evaluate the function at the given value of the independent variable and simplify. - $g ( x ) = 3 x + 1 ; \quad g ( x + 1 )$

Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph of f. - $(x)=|x|, g(x)=|x|+2$

Determine whether the equation defines y as a function of x. - $x ^ { 2 } + y ^ { 2 } = 9$

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

Use the given conditions to write an equation for the line in slope-intercept form. -Passing through $( 1 , - 8 )$ and $( - 7,8 )$

Determine whether the equation defines y as a function of x. - $| x | - y = 9$

Determine whether the relation is a function. -{(-6, 9), (-3, 6), (2, 2), (8, 4)}

Evaluate the function at the given value of the independent variable and simplify. - $f ( x ) = \frac { x ^ { 2 } + 6 } { x ^ { 3 } - 5 x } ; \quad f ( - 4 )$

Evaluate the function at the given value of the independent variable and simplify. - $f ( x ) = \sqrt { x + 6 } ; \quad f ( - 2 )$

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Exam 2: Functions and Graphs

Use the given conditions to write an equation for the line in slope-intercept form. -Slope =45= \frac { 4 } { 5 }=54​ , passing through (2,7)( 2,7 )(2,7)

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. -Between what two years is the difference in function values equal to 5%?

Use the given conditions to write an equation for the line in point-slope form. -Passing through (7,3)( 7,3 )(7,3) and (5,2)( 5,2 )(5,2)

Identify the intercepts -

Determine whether the given function is even, odd, or neither. - f(x)=x3−x2f ( x ) = x ^ { 3 } - x ^ { 2 }f(x)=x3−x2

Determine whether the relation is a function. -{(-4, -4), (-2, 1), (-1, -7), (5, -9)}

Use the given conditions to write an equation for the line in point-slope form. -Slope =56= \frac { 5 } { 6 }=65​ , passing through (3,5)( 3,5 )(3,5)

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

Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph of f. - f(x)=x,g(x)=x−2f(x)=x, g(x)=x-2f(x)=x,g(x)=x−2

Use the given conditions to write an equation for the line in point-slope form. -Passing through (−4,−4)( - 4 , - 4 )(−4,−4) and (−2,−7)( - 2 , - 7 )(−2,−7)

Use the given conditions to write an equation for the line in slope-intercept form. -Slope =2= 2=2 , passing through (−6,3)( - 6,3 )(−6,3)

Evaluate the function at the given value of the independent variable and simplify. - g(x)=3x+1;g(x+1)g ( x ) = 3 x + 1 ; \quad g ( x + 1 )g(x)=3x+1;g(x+1)

Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph of f. - (x)=∣x∣,g(x)=∣x∣+2(x)=|x|, g(x)=|x|+2(x)=∣x∣,g(x)=∣x∣+2

Determine whether the equation defines y as a function of x. - x2+y2=9x ^ { 2 } + y ^ { 2 } = 9x2+y2=9