Question 1

Determine algebraically whether the function is even, odd, or neither even nor odd.
-$$f ( x ) = 4 x ^ { 4 } + 6 x - 3$$

Accepted Answer

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

Question 2

Write the specified quantity as a function of the specified variable.
-One leg of a right triangle is three times as long as the other. Write the length of the hypotenuse as a function of the length of the shorter leg.

Accepted Answer

A)  $c = 2 a$ 
B)  $c = 10 a ^ { 2 }$ 
C)  $c = 2 \sqrt { a }$ 
D)  $c = a \sqrt { 10 }$ 
A)  $c = 2 a$ 
B)  $c = 10 a ^ { 2 }$ 
C)  $c = 2 \sqrt { a }$ 
D)  $c = a \sqrt { 10 }$

Question 3

Write the word or phrase that best completes each statement or answers the question.
Sketch the graph of the given function based on the graph of the function f given below.
-$$\text { Sketch the graph of } y = f ( 3 x ) \text {. }$$

Accepted Answer

The answer of Write the word or phrase that best...

Question 4

Find the range of the function.
-$$f ( x ) = 3 + \sqrt { 8 - x }$$

Accepted Answer

A)  $[ 8 , \infty )$ 
B)  $[ 3 , \infty )$ 
C)  $( - \infty , 3 ]$ 
D)  $( - \infty , \infty )$ 
A)  $[ 8 , \infty )$ 
B)  $[ 3 , \infty )$ 
C)  $( - \infty , 3 ]$ 
D)  $( - \infty , \infty )$

Question 5

Find f(x) and g(x) so that the function can be described as y = f(g(x)).
-$$y = \frac { 3 } { \sqrt { 8 x + 4 } }$$

Accepted Answer

A)  $f ( x ) = 3 , g ( x ) = \sqrt { 8 + 4 }$ 
B)  $f ( x ) = \sqrt { 8 x + 4 } , g ( x ) = 3$ 
C)  $f ( x ) = \frac { 3 } { x } , g ( x ) = 8 x + 4$ 
D)  $f ( x ) = \frac { 3 } { \sqrt { x } } , g ( x ) = 8 x + 4$ 
A)  $f ( x ) = 3 , g ( x ) = \sqrt { 8 + 4 }$ 
B)  $f ( x ) = \sqrt { 8 x + 4 } , g ( x ) = 3$ 
C)  $f ( x ) = \frac { 3 } { x } , g ( x ) = 8 x + 4$ 
D)  $f ( x ) = \frac { 3 } { \sqrt { x } } , g ( x ) = 8 x + 4$

Question 6

Solve the problem.
-The graph depicts a person's speed $y$, in miles per hour, during a 15 -minute period of driving.
The graph has two turning points.The first turning point is the point at which the graph stops rising and starts to The second turning point is the point at which the graph stops falling and starts to rise again.
Estimate and interpret the turning points.

Accepted Answer

A)  The first turning point is at approximately $( 5,43 )$. This is where the person's distance from the starting point stops increasing and starts to decrease. The second turning point is at approximately $( 12,24 )$. This is where the person's distance from the starting point stops decreasing and starts to increase again. 
B)  The first turning point is at approximately $( 4,43 )$. This is where the person's distance from the starting point stops increasing and starts to decrease. The second turning point is at approximately $( 11,24 )$. This is where the person's distance from the starting point stops decreasing and starts to increase again. 
C)  The first turning point is at approximately $( 5,43 )$. This is where the person's speed first stops increasing and starts to decrease. The second turning point is at approximately $( 12,24 )$. This is where the person's speed stops decreasing and starts to increase again. 
D)  The first turning point is at approximately $( 6,43 )$. This is where the person's speed first stops increasing and starts to decrease. The second turning point is at approximately $( 13,24 )$. This is where the person's speed stops decreasing and starts to increase again. 
A)  The first turning point is at approximately $( 5,43 )$. This is where the person's distance from the starting point stops increasing and starts to decrease. The second turning point is at approximately $( 12,24 )$. This is where the person's distance from the starting point stops decreasing and starts to increase again. 
B)  The first turning point is at approximately $( 4,43 )$. This is where the person's distance from the starting point stops increasing and starts to decrease. The second turning point is at approximately $( 11,24 )$. This is where the person's distance from the starting point stops decreasing and starts to increase again. 
C)  The first turning point is at approximately $( 5,43 )$. This is where the person's speed first stops increasing and starts to decrease. The second turning point is at approximately $( 12,24 )$. This is where the person's speed stops decreasing and starts to increase again. 
D)  The first turning point is at approximately $( 6,43 )$. This is where the person's speed first stops increasing and starts to decrease. The second turning point is at approximately $( 13,24 )$. This is where the person's speed stops decreasing and starts to increase again.

Question 7

Solve the problem.
-A high-altitude spherical weather balloon expands as it rises due to the drop in atmospheric pressure. Suppose that the radius $r$ increases at the rate of $0.04$ inches per second and that $r = 33$ inches at time $t = 0$. Determine the equation that models the volume $\mathrm { V }$ of the balloon at time $t$ and find the volume when $t = 310$ seconds.

Accepted Answer

A)  $\mathrm { V } ( \mathrm { t } ) = \frac { 4 \pi ( 0.04 \mathrm { t } ) ^ { 3 } } { 3 } ; 23,959.34 \mathrm { in } ^ { 3 }$ 
B)  $V ( t ) = \frac { 4 \pi ( 33 + 0.04 t ) ^ { 3 } } { 3 } ; 391,973.01 \mathrm { in } ^ { 3 }$ 
C)  $V ( t ) = 4 \pi ( 33 + 0.04 t ) ^ { 2 } ; 1,306,170.68$ in. 3 
D)  $V ( t ) = 4 \pi ( 0.04 t ) ^ { 2 } ; 1932.21$ in.3 
A)  $\mathrm { V } ( \mathrm { t } ) = \frac { 4 \pi ( 0.04 \mathrm { t } ) ^ { 3 } } { 3 } ; 23,959.34 \mathrm { in } ^ { 3 }$ 
B)  $V ( t ) = \frac { 4 \pi ( 33 + 0.04 t ) ^ { 3 } } { 3 } ; 391,973.01 \mathrm { in } ^ { 3 }$ 
C)  $V ( t ) = 4 \pi ( 33 + 0.04 t ) ^ { 2 } ; 1,306,170.68$ in. 3 
D)  $V ( t ) = 4 \pi ( 0.04 t ) ^ { 2 } ; 1932.21$ in.3

Question 8

Choose the one alternative that best completes the statement or answers the question.
Write a mathematical expression for the quantity described verbally.
-A number $x$ decreased by six and then doubled

Accepted Answer

A)  $2 x - 6$ 
B)  $x - 26$ 
C)  $2 ( x + 6 )$ 
D)  $2 ( x - 6 )$ 
A)  $2 x - 6$ 
B)  $x - 26$ 
C)  $2 ( x + 6 )$ 
D)  $2 ( x - 6 )$

Question 9

True or False. The function $y = \frac { x ^ { 2 } - 1 ^ { 2 } } { x - 1 }$ is not continuous at $x = 1$.

Accepted Answer

A) True 
 B)False

Question 10

Give the equation of the function g whose graph is described.
-The graph of $f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 2 x + 1$ is reflected across the $y$-axis .

Accepted Answer

A)  $g ( x ) = - x ^ { 3 } - 3 x ^ { 2 } - 2 x + 1$ 
B)  $g ( x ) = - x ^ { 3 } - 3 x ^ { 2 } - 2 x - 1$ 
C)  $g ( x ) = - x ^ { 3 } + 3 x ^ { 2 } - 2 x - 1$ 
D)  $g ( x ) = x ^ { 3 } + 3 x ^ { 2 } + 2 x + 1$ 
A)  $g ( x ) = - x ^ { 3 } - 3 x ^ { 2 } - 2 x + 1$ 
B)  $g ( x ) = - x ^ { 3 } - 3 x ^ { 2 } - 2 x - 1$ 
C)  $g ( x ) = - x ^ { 3 } + 3 x ^ { 2 } - 2 x - 1$ 
D)  $g ( x ) = x ^ { 3 } + 3 x ^ { 2 } + 2 x + 1$

Question 11

Solve the problem.
-An airplane leaves Los Angeles for Denver at a speed of 400 mph. Thirty minutes later, a plane going from Denver to Los Angeles leaves Denver, which is 850 miles from Los Angeles, at a speed of 470 mph. When they
Meet, how far are they from Denver?

Accepted Answer

A)  351 miles 
B)  59 miles 
C)  293 miles 
D)  117 miles 
A)  351 miles 
B)  59 miles 
C)  293 miles 
D)  117 miles

Question 12

Describe how to transform the graph of f into the graph of g.
-$f ( x ) = \sqrt { x }$ and $g ( x ) = \frac { 1 } { 5 } \sqrt { x }$

Accepted Answer

A)  Horizontally stretch the graph of $\mathrm { f }$ by a factor of $\frac { 1 } { 5 }$. 
B)  Horizontally shrink the graph of $\mathrm { f }$ by a factor of $\frac { 1 } { 5 }$. 
C)  Vertically stretch the graph of $\mathrm { f }$ by a factor of $\frac { 1 } { 5 }$. 
D)  Vertically shrink the graph of $\mathrm { f }$ by a factor of $\frac { 1 } { 5 }$. 
A)  Horizontally stretch the graph of $\mathrm { f }$ by a factor of $\frac { 1 } { 5 }$. 
B)  Horizontally shrink the graph of $\mathrm { f }$ by a factor of $\frac { 1 } { 5 }$. 
C)  Vertically stretch the graph of $\mathrm { f }$ by a factor of $\frac { 1 } { 5 }$. 
D)  Vertically shrink the graph of $\mathrm { f }$ by a factor of $\frac { 1 } { 5 }$.

Question 13

Consider the functions f and g as shown in the graph. Sketch the graph of the indicated sum or difference of functions.
-Graph f - g.

Accepted Answer

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

Question 14

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-Let $f ( x )$ compute the cost of a rental car after $x$ days of use at $\$ 26$ per day. What is the interpretation of the solutio of $f ^ { - 1 } ( x ) = 175$ ?

Accepted Answer

A)  The number of days rented for $\$ 26$ 
B)  The number of days rented for $\$ 175$ 
C)  The cost of rental for 26 days 
D)  The cost of rental for 175 days 
A)  The number of days rented for $\$ 26$ 
B)  The number of days rented for $\$ 175$ 
C)  The cost of rental for 26 days 
D)  The cost of rental for 175 days

Question 15

Choose the one alternative that best completes the statement or answers the question.
Write a mathematical expression for the quantity described verbally.
-Sale price of an item marked $x$ dollars, if $70 \%$ is discounted from the marked price

Accepted Answer

A)  $0.3 x$ 
B)  $x - 70$ 
C)  $1.7 x$ 
D)  $x - 0.7$ 
A)  $0.3 x$ 
B)  $x - 70$ 
C)  $1.7 x$ 
D)  $x - 0.7$

Question 16

Solve the problem.
-Mardi received an inheritance of $60,000. She invested part at 11% and deposited the remainder in tax-free bonds at 12%. Her total annual income from the investments was $6800. Find the amount invested at 11%.

Accepted Answer

A)  $39,000 
B)  $20,000 
C)  $40,000 
D)  $53,200 
A)  $39,000 
B)  $20,000 
C)  $40,000 
D)  $53,200

Question 17

Write the word or phrase that best completes each statement or answers the question.
Graph the function on your calculator in order to answer the following questions:
On what intervals is the function increasing? decreasing?
Is the function odd, even, or neither?
Give the function's extrema, if any.
Find the horizontal asymptotes, if any.
How does the graph relate to a graph of one of the twelve basic functions?
-f(x) = ln(x + 3)

Accepted Answer

Decreasing on @#LAT-DLM&
Neither odd nor

Question 18

Solve the problem.
-Some of the results of an analysis, on the makeup of garbage, are given in the following table. The table displays various years which gives the number of pounds per person per day of various types of waste materials.

For glass, calculate the average rate of change between 1990 and 2000 . Then interpret what this value means.

Accepted Answer

A)  From 1990 to 2000 , the number of pounds of glass per person per day decreased by $0.002$ per year. 
B)  From 1990 to 2000, the number of pounds of glass per person per day increased by $0.002$ per year. 
C)  From 1990 to 2000 , the number of pounds of glass per person per day increased by $0.11$ per year. 
D)  From 1990 to 2000 , the number of pounds of glass per person per day decreased by $0.11$ per year. 
A)  From 1990 to 2000 , the number of pounds of glass per person per day decreased by $0.002$ per year. 
B)  From 1990 to 2000, the number of pounds of glass per person per day increased by $0.002$ per year. 
C)  From 1990 to 2000 , the number of pounds of glass per person per day increased by $0.11$ per year. 
D)  From 1990 to 2000 , the number of pounds of glass per person per day decreased by $0.11$ per year.

Question 19

Find f(x) and g(x) so that the function can be described as y = f(g(x)).
-$$y = \frac { 7 } { x ^ { 2 } } + 9$$

Accepted Answer

A)  $f ( x ) = x , g ( x ) = \frac { 7 } { x } + 9$ 
B)  $f ( x ) = \frac { 7 } { x ^ { 2 } } , g ( x ) = 9$ 
C)  $f ( x ) = \frac { 1 } { x } , g ( x ) = \frac { 7 } { x } + 9$ 
D)  $f ( x ) = x + 9 , g ( x ) = \frac { 7 } { x ^ { 2 } }$ 
A)  $f ( x ) = x , g ( x ) = \frac { 7 } { x } + 9$ 
B)  $f ( x ) = \frac { 7 } { x ^ { 2 } } , g ( x ) = 9$ 
C)  $f ( x ) = \frac { 1 } { x } , g ( x ) = \frac { 7 } { x } + 9$ 
D)  $f ( x ) = x + 9 , g ( x ) = \frac { 7 } { x ^ { 2 } }$

Question 20

Match the function with the graph.
-

Accepted Answer

A)  $g ( x ) = - x ^ { 2 } + 6$ 
B)  $g ( x ) = ( x + 6 ) ^ { 2 }$ 
C)  $g ( x ) = - x ^ { 2 } - 6$ 
D)  $g ( x ) = - ( x - 6 ) ^ { 2 }$ 
A)  $g ( x ) = - x ^ { 2 } + 6$ 
B)  $g ( x ) = ( x + 6 ) ^ { 2 }$ 
C)  $g ( x ) = - x ^ { 2 } - 6$ 
D)  $g ( x ) = - ( x - 6 ) ^ { 2 }$

Determine algebraically whether the function is even, odd, or neither even nor odd. - $f ( x ) = 4 x ^ { 4 } + 6 x - 3$

Write the specified quantity as a function of the specified variable. -One leg of a right triangle is three times as long as the other. Write the length of the hypotenuse as a function of the length of the shorter leg.

Find the range of the function. - $f ( x ) = 3 + \sqrt { 8 - x }$

Find f(x) and g(x) so that the function can be described as y = f(g(x)). - $y = \frac { 3 } { \sqrt { 8 x + 4 } }$

Choose the one alternative that best completes the statement or answers the question. Write a mathematical expression for the quantity described verbally. -A number $x$ decreased by six and then doubled

True or False. The function $y = \frac { x ^ { 2 } - 1 ^ { 2 } } { x - 1 }$ is not continuous at $x = 1$ .

Give the equation of the function g whose graph is described. -The graph of $f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 2 x + 1$ is reflected across the $y$ -axis .

Solve the problem. -An airplane leaves Los Angeles for Denver at a speed of 400 mph. Thirty minutes later, a plane going from Denver to Los Angeles leaves Denver, which is 850 miles from Los Angeles, at a speed of 470 mph. When they Meet, how far are they from Denver?

Describe how to transform the graph of f into the graph of g. - $f ( x ) = \sqrt { x }$ and $g ( x ) = \frac { 1 } { 5 } \sqrt { x }$

Consider the functions f and g as shown in the graph. Sketch the graph of the indicated sum or difference of functions. -Graph f - g.

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -Let $f ( x )$ compute the cost of a rental car after $x$ days of use at $\$ 26$ per day. What is the interpretation of the solutio of $f ^ { - 1 } ( x ) = 175$ ?

Choose the one alternative that best completes the statement or answers the question. Write a mathematical expression for the quantity described verbally. -Sale price of an item marked $x$ dollars, if $70 \%$ is discounted from the marked price

Solve the problem. -Mardi received an inheritance of $60,000. She invested part at 11% and deposited the remainder in tax-free bonds at 12%. Her total annual income from the investments was $6800. Find the amount invested at 11%.

Find f(x) and g(x) so that the function can be described as y = f(g(x)). - $y = \frac { 7 } { x ^ { 2 } } + 9$

Match the function with the graph. -

Polynomial, Power, and Rational Functions

Exponential, Logistic, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems and Matrices

Analytic Geometry in Two and Three Dimensions

Discrete Mathematics

Statistics and Probability

An Introduction to Calculus: Limits, Derivatives, and Integrals

Prerequisites

Filters

Exam 1: Functions and Graphs

Determine algebraically whether the function is even, odd, or neither even nor odd. - f(x)=4x4+6x−3f ( x ) = 4 x ^ { 4 } + 6 x - 3f(x)=4x4+6x−3