Question 1

Select the graph of the function and determine whether it is even,odd,or neither.? $$g ( t ) = \sqrt [ 3 ] { t - 4 }$$ ?

Accepted Answer

A) ?   Even 
B) ?   Odd 
C) ?   Neither 
D) ?   Even 
E) ?   Odd 
A) ?   Even 
B) ?   Odd 
C) ?   Neither 
D) ?   Even 
E) ?   Odd C

Question 2

Graph the function.? $$y = [ [ 4 x ] ]$$ ?

Accepted Answer

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

Question 3

Find the average rate of change of the function from x1 = 1 to x2 = 5.? $$f ( x ) = x ^ { 2 } + 18 x - 4$$ ?

Accepted Answer

A) The average rate of change from x1 = 1 to x2 = 5 is 24. 
B) The average rate of change from x1 = 1 to x2 = 5 is -4. 
C) The average rate of change from x1 = 1 to x2 = 5 is -24. 
D) The average rate of change from x1 = 1 to x2 = 5 is -18. 
E) The average rate of change from x1 = 1 to x2 = 5 is 4. 
A) The average rate of change from x1 = 1 to x2 = 5 is 24. 
B) The average rate of change from x1 = 1 to x2 = 5 is -4. 
C) The average rate of change from x1 = 1 to x2 = 5 is -24. 
D) The average rate of change from x1 = 1 to x2 = 5 is -18. 
E) The average rate of change from x1 = 1 to x2 = 5 is 4. A

Question 4

Select the graph of the function and determine whether it is even,odd,or neither. ​
F(x)= 6x - 5
​

Accepted Answer

A) ​   Even 
B) ​   Even 
C) ​   Odd 
D) ​   Neither 
E) ​   Odd 
A) ​   Even 
B) ​   Even 
C) ​   Odd 
D) ​   Neither 
E) ​   Odd

Question 5

Tell where the function is decreasing.​   ​

Accepted Answer

A) always increasing 
B) always decreasing 
C) (0,∞) 
D) always constant 
E) (-∞,0) 
A) always increasing 
B) always decreasing 
C) (0,∞) 
D) always constant 
E) (-∞,0)

Question 6

Select the graph of the function and determine whether it is even,odd,or neither. ​
F(x)= x2 - 6
​

Accepted Answer

A) ​   Odd 
B) ​   Neither 
C) ​   Odd 
D) ​   Neither 
E) ​   Even 
A) ​   Odd 
B) ​   Neither 
C) ​   Odd 
D) ​   Neither 
E) ​   Even

Question 7

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even. ​
(4,3)
​

Accepted Answer

A) (-4,-3) 
B) (-4,3) 
C) (4,3) ​ 
D) ​(4,-3) ​ 
E) None of the above 
A) (-4,-3) 
B) (-4,3) 
C) (4,3) ​ 
D) ​(4,-3) ​ 
E) None of the above

Question 8

Find the average rate of change of the function from x1 = 0 to x2 = 3.? $$f ( x ) = - 2 x + 12$$ ?

Accepted Answer

A) The average rate of change from x1 = 0 to x2 = 3 is -2. 
B) The average rate of change from x1 = 0 to x2 = 3 is 12. 
C) The average rate of change from x1 = 0 to x2 = 3 is 2. 
D) The average rate of change from x1 = 0 to x2 = 3 is -12. 
E) The average rate of change from x1 = 0 to x2 = 3 is 19. 
A) The average rate of change from x1 = 0 to x2 = 3 is -2. 
B) The average rate of change from x1 = 0 to x2 = 3 is 12. 
C) The average rate of change from x1 = 0 to x2 = 3 is 2. 
D) The average rate of change from x1 = 0 to x2 = 3 is -12. 
E) The average rate of change from x1 = 0 to x2 = 3 is 19.

Question 9

Use the Vertical Line Test to determine in which of the graphs y is not a function of x. ?

Accepted Answer

A) All of the choices (A,B,C,and 
D) represent functions. 
B) ?x2 + y2 = 16 ?
?   
C) ? $$y = x ^ { 2 } + 2 x - 3$$ ?   
D) ? $$y = x ^ { 3 } - 2$$ ?   
E) ? $$y = \frac { 1 } { x }$$ ?   
A) All of the choices (A,B,C,and 
D) represent functions. 
B) ?x2 + y2 = 16 ?
?   
C) ? $$y = x ^ { 2 } + 2 x - 3$$ ?   
D) ? $$y = x ^ { 3 } - 2$$ ?   
E) ? $$y = \frac { 1 } { x }$$ ?

Question 10

An object is thrown upward from ground level at a velocity of 90 feet per second. Use the position equation s = -16t2 + v0t + s0 to select a function that represents the situation and select the graph of the function.
​

Accepted Answer

A) s = -16t2 + 90t ​
​   
B) s = -16t2 - 90t ​   
C) s = 16t2 + 90t ​
​   
D) s = 16t2 - 90t ​
​   
E) s = -16t2 + 90t + 8 ​
​   
A) s = -16t2 + 90t ​
​   
B) s = -16t2 - 90t ​   
C) s = 16t2 + 90t ​
​   
D) s = 16t2 - 90t ​
​   
E) s = -16t2 + 90t + 8 ​
​

Question 11

Use a graphing utility to graph the function and approximate (to two decimal places)any relative minimum or relative maximum values. $$f ( x ) = x ^ { 3 } + 2 x ^ { 2 } - 2 x + 3$$

Accepted Answer

A) relative maximum: (2.58,0.39) relative minimum: (7.27,-1.72) 
B) relative maximum: (0.39,2.58) relative minimum: (-1.72,7.27) 
C) relative maximum: (-1.72,7.27) relative minimum: (0.39,2.58) 
D) relative maximum: (7.27,-1.72) relative minimum: (2.58,0.39) 
E) relative maximum: (2.58,28.33) relative minimum: (7.27,478.41) 
A) relative maximum: (2.58,0.39) relative minimum: (7.27,-1.72) 
B) relative maximum: (0.39,2.58) relative minimum: (-1.72,7.27) 
C) relative maximum: (-1.72,7.27) relative minimum: (0.39,2.58) 
D) relative maximum: (7.27,-1.72) relative minimum: (2.58,0.39) 
E) relative maximum: (2.58,28.33) relative minimum: (7.27,478.41)

Question 12

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd.? $\left( - \frac { 9 } { 7 } , - 4 \right)$ ?

Accepted Answer

A)  $\left( \frac { 9 } { 7 } , 4 \right)$ 
B) ? $\left( - \frac { 9 } { 7 } , 4 \right)$ 
C) ? $\left( - \frac { 9 } { 7 } , - 4 \right)$ 
D) ? $\left( \frac { 9 } { 7 } , - 4 \right)$ 
E) None of the above 
A)  $\left( \frac { 9 } { 7 } , 4 \right)$ 
B) ? $\left( - \frac { 9 } { 7 } , 4 \right)$ 
C) ? $\left( - \frac { 9 } { 7 } , - 4 \right)$ 
D) ? $\left( \frac { 9 } { 7 } , - 4 \right)$ 
E) None of the above

Question 13

Select the graph of the given function and determine the interval(s)for which f(x)? 0.? $$f ( x ) = - ( 6 + | x | )$$ ?

Accepted Answer

A) ?   ?
F(x)> 6 for all x. 
B) ?   ?
F(x) 0 for all x. 
A) ?   ?
F(x)> 6 for all x. 
B) ?   ?
F(x) 0 for all x.

Question 14

Graph the piecewise-defined function.? $$y = f ( x ) = \left\{ \begin{array} { r } 
x + 6 , \text { if } x < 0 \
6 , \text { if } x \geq 0
\end{array} \right.$$ ?

Accepted Answer

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

Question 15

Use a graphing utility to graph the function and visually determine the intervals over which the function is increasing,decreasing,or constant.? $f ( x ) = 6 x ^ { 2 } - 12 x + 6$ ?

Accepted Answer

A) ?increasing on (-?,?) 
B) descreasing on (-?,1) increasing on (1,?) 
C) ?increasing on (-?,1) descreasing on (1,?) 
D) ?descreasing on (-?,?) 
E) descreasing on (1,1) increasing on (1,?) 
A) ?increasing on (-?,?) 
B) descreasing on (-?,1) increasing on (1,?) 
C) ?increasing on (-?,1) descreasing on (1,?) 
D) ?descreasing on (-?,?) 
E) descreasing on (1,1) increasing on (1,?)

Question 16

Find the zeroes of the functions algebraically.? $$f ( x ) = \frac { x ^ { 2 } - 14 x + 48 } { 7 x }$$ ?

Accepted Answer

A)  $x = - 8 , x = - 6 , x = \frac { 1 } { 7 }$ 
B)  $x = 8 , x = 6$ 
C) ? $$x = - 8 , x = - 6$$ 
D)  $x = \frac { 1 } { 7 }$ 
E)  $x = 8 , x = 6 , x = \frac { 1 } { 7 }$ 
A)  $x = - 8 , x = - 6 , x = \frac { 1 } { 7 }$ 
B)  $x = 8 , x = 6$ 
C) ? $$x = - 8 , x = - 6$$ 
D)  $x = \frac { 1 } { 7 }$ 
E)  $x = 8 , x = 6 , x = \frac { 1 } { 7 }$

Question 17

Select the graph of the given function and determine the interval(s)for which f(x)? 0.? $$f ( x ) = \sqrt { x - 2 }$$ ?

Accepted Answer

A) ?   ?
(-?,2] 
B) ?   ?
[-2,?) 
C) ?   ?
?[-2,2) 
D) ?   ?
[2,?) 
E) ?   ?
[-2,?) 
A) ?   ?
(-?,2] 
B) ?   ?
[-2,?) 
C) ?   ?
?[-2,2) 
D) ?   ?
[2,?) 
E) ?   ?
[-2,?)

Question 18

The graph of the function is sketched as follows:​   ​
Determine the interval where the function is increasing.

Accepted Answer

The answer of The graph of the function is sketched...

Question 19

Find the zeros of the function algebraically.? $$f ( x ) = \sqrt { 5 x + 2 }$$ ?

Accepted Answer

A)  $x = - \frac { 2 } { 5 }$ 
B)  $x = \frac { 2 } { 5 }$ 
C) ? $x = \frac { 5 } { 2 }$ 
D)  $x = - \frac { 5 } { 2 }$ 
E)  $x = - 2$ 
A)  $x = - \frac { 2 } { 5 }$ 
B)  $x = \frac { 2 } { 5 }$ 
C) ? $x = \frac { 5 } { 2 }$ 
D)  $x = - \frac { 5 } { 2 }$ 
E)  $x = - 2$

Question 20

An object is dropped from a height of 15 feet. Use the position equation s = -16t2 + v0t + s0 to write a function that represents the situation and select the graph of the function.
​

Accepted Answer

A) s = -16t2 + 15t ​
​   
B) s = -16t2 + 15 ​
​   
C) s = -16t2 - 15t ​
​   
D) s = 16t2 + 15 ​
​   
E) s = -16t2 - 15 ​
​   
A) s = -16t2 + 15t ​
​   
B) s = -16t2 + 15 ​
​   
C) s = -16t2 - 15t ​
​   
D) s = 16t2 + 15 ​
​   
E) s = -16t2 - 15 ​
​

Exam 5: Analyzing Graphs of Functions

Select the graph of the function and determine whether it is even,odd,or neither.? g(t)=t−43g ( t ) = \sqrt [ 3 ] { t - 4 }g(t)=3t−4​ ?

Graph the function.? y=[[4x]]y = [ [ 4 x ] ]y=[[4x]] ?

Find the average rate of change of the function from x1 = 1 to x2 = 5.? f(x)=x2+18x−4f ( x ) = x ^ { 2 } + 18 x - 4f(x)=x2+18x−4 ?

Select the graph of the function and determine whether it is even,odd,or neither. ​ F(x)= 6x - 5 ​

Tell where the function is decreasing.​ ​

Select the graph of the function and determine whether it is even,odd,or neither. ​ F(x)= x2 - 6 ​

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even. ​ (4,3) ​

Find the average rate of change of the function from x1 = 0 to x2 = 3.? f(x)=−2x+12f ( x ) = - 2 x + 12f(x)=−2x+12 ?

Use the Vertical Line Test to determine in which of the graphs y is not a function of x. ?

An object is thrown upward from ground level at a velocity of 90 feet per second. Use the position equation s = -16t2 + v0t + s0 to select a function that represents the situation and select the graph of the function. ​

Use a graphing utility to graph the function and approximate (to two decimal places)any relative minimum or relative maximum values. f(x)=x3+2x2−2x+3f ( x ) = x ^ { 3 } + 2 x ^ { 2 } - 2 x + 3f(x)=x3+2x2−2x+3

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd.? (−97,−4)\left( - \frac { 9 } { 7 } , - 4 \right)(−79​,−4) ?

Select the graph of the given function and determine the interval(s)for which f(x)? 0.? f(x)=−(6+∣x∣)f ( x ) = - ( 6 + | x | )f(x)=−(6+∣x∣) ?

Graph the piecewise-defined function.? y=f(x)={x+6, if x<06, if x≥0y = f ( x ) = \left\{ \begin{array} { r } x + 6 , \text { if } x < 0 \\6 , \text { if } x \geq 0\end{array} \right.y=f(x)={x+6, if x<06, if x≥0​ ?

Use a graphing utility to graph the function and visually determine the intervals over which the function is increasing,decreasing,or constant.? f(x)=6x2−12x+6f ( x ) = 6 x ^ { 2 } - 12 x + 6f(x)=6x2−12x+6 ?

Find the zeroes of the functions algebraically.? f(x)=x2−14x+487xf ( x ) = \frac { x ^ { 2 } - 14 x + 48 } { 7 x }f(x)=7xx2−14x+48​ ?

Select the graph of the given function and determine the interval(s)for which f(x)? 0.? f(x)=x−2f ( x ) = \sqrt { x - 2 }f(x)=x−2​ ?

The graph of the function is sketched as follows:​ ​ Determine the interval where the function is increasing.

Find the zeros of the function algebraically.? f(x)=5x+2f ( x ) = \sqrt { 5 x + 2 }f(x)=5x+2​ ?

An object is dropped from a height of 15 feet. Use the position equation s = -16t2 + v0t + s0 to write a function that represents the situation and select the graph of the function. ​

Rectangular Coordinates

Graphs of Equations

Linear Equations in Two Variables

Functions

A Library of Parent Functions

Transformations of Functions

Combinations of Functions Composite Functions

Inverse Functions

Mathematical Modeling and Variation

Quadratic Functions and Models

Polynomial Functions of Higher Degree

Polynomial and Synthetic Division

Complex Numbers

Zeros of Polynomial Functions

Rational Functions

Nonlinear Inequalities

Exponential Functions and Their Graphs

Logarithmic Functions and Their Graphs

Properties of Logarithms

Exponential and Logarithmic Equations

Exponential and Logarithmic Models

Radian and Degree Measure

Trigonometric Functions The Unit Circle

Right Triangle Trigonometry

Trigonometric Functions of Any Angle

Graphs of Sine and Cosine Functions

Graphs of Other Trigonometric Functions

Inverse Trigonometric Functions

Applications and Models

Using Fundamental Identities

Verifying Trigonometric Equations

Solving Trigonometric Equations

Sum and Difference Formulas

Multiple Angle and Product to Sum Formulas

Law of Sines

Law of Cosines

Vectors in the Plane

Vectors and Dot Products

Trigonometric Form of a Complex Number

Linear and Nonlinear Systems of Equations

Two Variable Linear Systems

Multivariable Linear Systems

Partial Fractions

Systems of Inequalities

Linear Programming

Matrices and Systems of Equations

Operations With Matrices

The Inverse of a Square Matrix

The Determinant of a Square Matrix

Applications of Matrices and Determinants

Sequences and Series

Arithmetic Sequences and Partial Sums

Geometric Sequences and Series

Mathematical Induction

The Binomial Theorem

Counting Principles

Probability

Lines

Introduction to Conics Parabolas

Select the graph of the function and determine whether it is even,odd,or neither.? $g ( t ) = \sqrt [ 3 ] { t - 4 }$ ?

Graph the function.? $y = [ [ 4 x ] ]$ ?

Find the average rate of change of the function from x₁ = 1 to x₂ = 5.? $f ( x ) = x ^ { 2 } + 18 x - 4$ ?

Select the graph of the function and determine whether it is even,odd,or neither. F(x)= 6x - 5

Tell where the function is decreasing.

Select the graph of the function and determine whether it is even,odd,or neither. F(x)= x² - 6

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even. (4,3)

Find the average rate of change of the function from x₁ = 0 to x₂ = 3.? $f ( x ) = - 2 x + 12$ ?

An object is thrown upward from ground level at a velocity of 90 feet per second. Use the position equation s = -16t² + v₀t + s₀ to select a function that represents the situation and select the graph of the function.

Use a graphing utility to graph the function and approximate (to two decimal places)any relative minimum or relative maximum values. $f ( x ) = x ^ { 3 } + 2 x ^ { 2 } - 2 x + 3$

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd.? $\left( - \frac { 9 } { 7 } , - 4 \right)$ ?

Select the graph of the given function and determine the interval(s)for which f(x)? 0.? $f ( x ) = - ( 6 + | x | )$ ?

Graph the piecewise-defined function.? $y = f ( x ) = \left\{ \begin{array} { r } x + 6 , \text { if } x < 0 \\6 , \text { if } x \geq 0\end{array} \right.$ ?

Use a graphing utility to graph the function and visually determine the intervals over which the function is increasing,decreasing,or constant.? $f ( x ) = 6 x ^ { 2 } - 12 x + 6$ ?

Find the zeroes of the functions algebraically.? $f ( x ) = \frac { x ^ { 2 } - 14 x + 48 } { 7 x }$ ?

Select the graph of the given function and determine the interval(s)for which f(x)? 0.? $f ( x ) = \sqrt { x - 2 }$ ?

The graph of the function is sketched as follows: Determine the interval where the function is increasing.

Find the zeros of the function algebraically.? $f ( x ) = \sqrt { 5 x + 2 }$ ?

An object is dropped from a height of 15 feet. Use the position equation s = -16t² + v₀t + s₀ to write a function that represents the situation and select the graph of the function.