Question 1

Solve the problem.
-Estimate graphically the local maximum and local minimum for $f ( x ) = x | 3 x - 2 |$.

Accepted Answer

A)  Local maximum: .33; no local minimum 
B)  No local maximum; local minimum: $.05$ 
C)  Local maximum: .05; local minimum: .33 
D)  Local maximum: .33; local minimum: 67 
A)  Local maximum: .33; no local minimum 
B)  No local maximum; local minimum: $.05$ 
C)  Local maximum: .05; local minimum: .33 
D)  Local maximum: .33; local minimum: 67

Question 2

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.
-$$\text { Sketch the graph of } y = - f ( x + 2 ) - 1$$

Accepted Answer

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

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.
-$$\text { Sketch the graph of } y = 1 + f ( - x ) \text {. }$$

Accepted Answer

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

Question 4

Give the equation of the function g whose graph is described.
-The graph of $f ( x ) = x ^ { 3 }$ is shifted $1.3$ units to the right and then vertically shrunk by a factor of $0.9$.

Accepted Answer

A)  $g ( x ) = 1.3 ( x - 0.9 ) ^ { 3 }$ 
B)  $g ( x ) = 0.9 ( x + 1.3 ) ^ { 3 }$ 
C)  $g ( x ) = 0.9 ( x - 1.3 ) ^ { 3 }$ 
D)  $g ( x ) = 0.9 x ^ { 3 } + 1.3$ 
A)  $g ( x ) = 1.3 ( x - 0.9 ) ^ { 3 }$ 
B)  $g ( x ) = 0.9 ( x + 1.3 ) ^ { 3 }$ 
C)  $g ( x ) = 0.9 ( x - 1.3 ) ^ { 3 }$ 
D)  $g ( x ) = 0.9 x ^ { 3 } + 1.3$

Question 5

Use an equation to solve the problem.
-Between 1990 and 2000 the population of a certain city grew from 202,000 to 239,700 . What was the percentage increase in the population of the city?

Accepted Answer

A)  $18.7 \%$ 
B)  $19.6 \%$ 
C)  $15.7 \%$ 
D)  $1.9 \%$ 
A)  $18.7 \%$ 
B)  $19.6 \%$ 
C)  $15.7 \%$ 
D)  $1.9 \%$

Question 6

Determine whether the graph is the graph of a function.
-

Accepted Answer

A) True 
 B)False

Question 7

Choose the one alternative that best completes the statement or answers the question.
Write a mathematical expression for the quantity described verbally.
-Two more than $5 \%$ of a number $x$

Accepted Answer

A)  $5 x + 2$ 
B)  $0.05 + 2 \mathrm { x }$ 
C)  $0.5 x + 2$ 
D)  $0.05 x + 2$ 
A)  $5 x + 2$ 
B)  $0.05 + 2 \mathrm { x }$ 
C)  $0.5 x + 2$ 
D)  $0.05 x + 2$

Question 8

Determine whether the formula determines y as a function of x.
-$$y = 5 x - 9$$

Accepted Answer

A) True 
 B)False

Question 9

Determine whether the formula determines y as a function of x.
-$$y = - 7 x ^ { 2 } - 3 x - 7$$

Accepted Answer

A) True 
 B)False

Question 10

Identify which of the twelve basic functions listed below fit the description given.
-The two functions with infinitely many zeros

Accepted Answer

A)  $y = \sin x , y = \frac { 1 } { x }$ 
B)  $y = \sin x , y = \cos x$ 
C)  $y = \frac { 1 } { x } , y = e ^ { x }$ 
D)  $y = \frac { 1 } { 1 + e ^ { - x } } , y = \operatorname { int } ( x )$ 
A)  $y = \sin x , y = \frac { 1 } { x }$ 
B)  $y = \sin x , y = \cos x$ 
C)  $y = \frac { 1 } { x } , y = e ^ { x }$ 
D)  $y = \frac { 1 } { 1 + e ^ { - x } } , y = \operatorname { int } ( x )$

Question 11

Write the specified quantity as a function of the specified variable.
-The base of an isosceles triangle is a third as long as the two equal sides. Write the perimeter of the triangle as a function of the length of the base.

Accepted Answer

A)  $P = \frac { 8 } { 3 } b$ 
B)  $P = < \frac { 5 } { 3 } b$ 
C)  $P = 7 b$ 
D)  $P = 5 b$ 
A)  $P = \frac { 8 } { 3 } b$ 
B)  $P = < \frac { 5 } { 3 } b$ 
C)  $P = 7 b$ 
D)  $P = 5 b$

Question 12

Choose the one alternative that best completes the statement or answers the question.
-What are the $x$-intercepts of $f ( x + 2 ) ?$

Accepted Answer

A)  $- 3,0$ 
B)  $- 4 , - 2,2$ 
C)  $- 4,2$ 
D)  $0,2,6$ 
A)  $- 3,0$ 
B)  $- 4 , - 2,2$ 
C)  $- 4,2$ 
D)  $0,2,6$

Question 13

Determine if the function is bounded above, bounded below, bounded on its domain, or unbounded on its domain.
-$y = \sqrt { 2 - x ^ { 2 } }$

Accepted Answer

A)  Bounded above 
B)  Bounded below 
C)  Unbounded 
D)  Bounded 
A)  Bounded above 
B)  Bounded below 
C)  Unbounded 
D)  Bounded

Question 14

Determine whether the graph is the graph of a function.
-

Accepted Answer

A) True 
 B)False

Question 15

Match the equation with the appropriate graph.
-$f ( x ) = \frac { x ^ { 3 } } { x ^ { 2 } - 1 }$

Accepted Answer

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

Question 16

Write the word or phrase that best completes each statement or answers the question.
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
-$$f ( x ) = \frac { x + 2 } { 5 } \text { and } g ( x ) = 5 x - 2$$ 5

Accepted Answer

\[\begin{array} { l } 
f ( g (

Question 17

Match the function with the graph.
-

Accepted Answer

A)  $y = \sqrt { x + 3 }$ 
B)  $y = \sqrt { x - 3 }$ 
C)  $y = \sqrt { x - 3 } - 2$ 
D)  $y = \sqrt { x } - 2$ 
A)  $y = \sqrt { x + 3 }$ 
B)  $y = \sqrt { x - 3 }$ 
C)  $y = \sqrt { x - 3 } - 2$ 
D)  $y = \sqrt { x } - 2$

Question 18

Use an equation to solve the problem.
-If Gloria received a $4 \%$ raise and is now making $\$ 24,960$ a year, what was her salary before the raise?

Accepted Answer

A)  $\$ 24,000$ 
B)  $\$ 22,960$ 
C)  $\$ 23,960$ 
D)  $\$ 25,000$ 
A)  $\$ 24,000$ 
B)  $\$ 22,960$ 
C)  $\$ 23,960$ 
D)  $\$ 25,000$

Question 19

Graph the function on your calculator to determine the domain and range from the graph.
-$$h ( x ) = | x | - 7$$

Accepted Answer

A)  Domain: $[ - 7 , \infty )$; range: $( - \infty , \infty )$ 
B)  Domain: $( - \infty , \infty )$; range: $( - 7 , \infty )$ 
C)  Domain: $( - 7 , \infty )$; range: $( - \infty , \infty )$ 
D)  Domain: $( - \infty , \infty )$; range: $[ - 7 , \infty )$ 
A)  Domain: $[ - 7 , \infty )$; range: $( - \infty , \infty )$ 
B)  Domain: $( - \infty , \infty )$; range: $( - 7 , \infty )$ 
C)  Domain: $( - 7 , \infty )$; range: $( - \infty , \infty )$ 
D)  Domain: $( - \infty , \infty )$; range: $[ - 7 , \infty )$

Question 20

Write the word or phrase that best completes each statement or answers the question.
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
-$$f ( x ) = \frac { x - 2 } { x + 9 } \text { and } g ( x ) = \frac { - 9 x - 2 } { x - 1 }$$

Accepted Answer

\[\begin{array} { l } 
f ( g ( x ) ) = \

Solve the problem. -Estimate graphically the local maximum and local minimum for $f ( x ) = x | 3 x - 2 |$ .

Give the equation of the function g whose graph is described. -The graph of $f ( x ) = x ^ { 3 }$ is shifted $1.3$ units to the right and then vertically shrunk by a factor of $0.9$ .

Use an equation to solve the problem. -Between 1990 and 2000 the population of a certain city grew from 202,000 to 239,700 . What was the percentage increase in the population of the city?

Determine whether the graph is the graph of a function. -

Choose the one alternative that best completes the statement or answers the question. Write a mathematical expression for the quantity described verbally. -Two more than $5 \%$ of a number $x$

Determine whether the formula determines y as a function of x. - $y = 5 x - 9$

Determine whether the formula determines y as a function of x. - $y = - 7 x ^ { 2 } - 3 x - 7$

Identify which of the twelve basic functions listed below fit the description given. -The two functions with infinitely many zeros

Write the specified quantity as a function of the specified variable. -The base of an isosceles triangle is a third as long as the two equal sides. Write the perimeter of the triangle as a function of the length of the base.

Choose the one alternative that best completes the statement or answers the question. -What are the $x$ -intercepts of $f ( x + 2 ) ?$

Determine if the function is bounded above, bounded below, bounded on its domain, or unbounded on its domain. - $y = \sqrt { 2 - x ^ { 2 } }$

Determine whether the graph is the graph of a function. -

Match the equation with the appropriate graph. - $f ( x ) = \frac { x ^ { 3 } } { x ^ { 2 } - 1 }$

Write the word or phrase that best completes each statement or answers the question. Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. - $f ( x ) = \frac { x + 2 } { 5 } \text { and } g ( x ) = 5 x - 2$ 5

Match the function with the graph. -

Use an equation to solve the problem. -If Gloria received a $4 \%$ raise and is now making $\$ 24,960$ a year, what was her salary before the raise?

Graph the function on your calculator to determine the domain and range from the graph. - $h ( x ) = | x | - 7$

Write the word or phrase that best completes each statement or answers the question. Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. - $f ( x ) = \frac { x - 2 } { x + 9 } \text { and } g ( x ) = \frac { - 9 x - 2 } { x - 1 }$

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

Solve the problem. -Estimate graphically the local maximum and local minimum for f(x)=x∣3x−2∣f ( x ) = x | 3 x - 2 |f(x)=x∣3x−2∣ .

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. - Sketch the graph of y=−f(x+2)−1\text { Sketch the graph of } y = - f ( x + 2 ) - 1 Sketch the graph of y=−f(x+2)−1

Give the equation of the function g whose graph is described. -The graph of f(x)=x3f ( x ) = x ^ { 3 }f(x)=x3 is shifted 1.31.31.3 units to the right and then vertically shrunk by a factor of 0.90.90.9 .

Use an equation to solve the problem. -Between 1990 and 2000 the population of a certain city grew from 202,000 to 239,700 . What was the percentage increase in the population of the city?

Determine whether the graph is the graph of a function. -

Choose the one alternative that best completes the statement or answers the question. Write a mathematical expression for the quantity described verbally. -Two more than 5%5 \%5% of a number xxx

Determine whether the formula determines y as a function of x. - y=5x−9y = 5 x - 9y=5x−9

Determine whether the formula determines y as a function of x. - y=−7x2−3x−7y = - 7 x ^ { 2 } - 3 x - 7y=−7x2−3x−7

Identify which of the twelve basic functions listed below fit the description given. -The two functions with infinitely many zeros

Write the specified quantity as a function of the specified variable. -The base of an isosceles triangle is a third as long as the two equal sides. Write the perimeter of the triangle as a function of the length of the base.

Choose the one alternative that best completes the statement or answers the question. -What are the xxx -intercepts of f(x+2)?f ( x + 2 ) ?f(x+2)?

Determine if the function is bounded above, bounded below, bounded on its domain, or unbounded on its domain. - y=2−x2y = \sqrt { 2 - x ^ { 2 } }y=2−x2​

Determine whether the graph is the graph of a function. -

Match the equation with the appropriate graph. - f(x)=x3x2−1f ( x ) = \frac { x ^ { 3 } } { x ^ { 2 } - 1 }f(x)=x2−1x3​

Write the word or phrase that best completes each statement or answers the question. Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. - f(x)=x+25 and g(x)=5x−2f ( x ) = \frac { x + 2 } { 5 } \text { and } g ( x ) = 5 x - 2f(x)=5x+2​ and g(x)=5x−2 5

Match the function with the graph. -

Use an equation to solve the problem. -If Gloria received a 4%4 \%4% raise and is now making $24,960\$ 24,960$24,960 a year, what was her salary before the raise?

Graph the function on your calculator to determine the domain and range from the graph. - h(x)=∣x∣−7h ( x ) = | x | - 7h(x)=∣x∣−7

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

Solve the problem. -Estimate graphically the local maximum and local minimum for $f ( x ) = x | 3 x - 2 |$ .

Give the equation of the function g whose graph is described. -The graph of $f ( x ) = x ^ { 3 }$ is shifted $1.3$ units to the right and then vertically shrunk by a factor of $0.9$ .

Choose the one alternative that best completes the statement or answers the question. Write a mathematical expression for the quantity described verbally. -Two more than $5 \%$ of a number $x$

Determine whether the formula determines y as a function of x. - $y = 5 x - 9$

Determine whether the formula determines y as a function of x. - $y = - 7 x ^ { 2 } - 3 x - 7$

Choose the one alternative that best completes the statement or answers the question. -What are the $x$ -intercepts of $f ( x + 2 ) ?$

Determine if the function is bounded above, bounded below, bounded on its domain, or unbounded on its domain. - $y = \sqrt { 2 - x ^ { 2 } }$

Match the equation with the appropriate graph. - $f ( x ) = \frac { x ^ { 3 } } { x ^ { 2 } - 1 }$

Write the word or phrase that best completes each statement or answers the question. Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. - $f ( x ) = \frac { x + 2 } { 5 } \text { and } g ( x ) = 5 x - 2$ 5

Use an equation to solve the problem. -If Gloria received a $4 \%$ raise and is now making $\$ 24,960$ a year, what was her salary before the raise?

Graph the function on your calculator to determine the domain and range from the graph. - $h ( x ) = | x | - 7$