Question 1

Below is a graph of a function   .What is the value of   ? ​   ​
​

Accepted Answer

A)  5 
B)  -5 
C)  8 
D)  None of the above 
A)  5 
B)  -5 
C)  8 
D)  None of the above

Question 2

Inflection points may occur where a function is increasing at the fastest rate.

Accepted Answer

A) True 
 B)False

Question 3

You put a drink in the freezer to cool.You take it out of the freezer when it is cold.But you forget about the drink and leave it sitting on the kitchen counter.The graph below shows the temperature, in degrees, of the drink t minutes after the drink is placed in the freezer.What is the temperature in the kitchen? ​
​   ​
​

Accepted Answer

A)  20 degrees 
B)  60 degrees 
C)  70 degrees 
D)  None of the above 
A)  20 degrees 
B)  60 degrees 
C)  70 degrees 
D)  None of the above

Question 4

Below is a graph of a function   .Find the value of   . ​   ​
​

Accepted Answer

A)  10 
B)  20.00 
C)  50 
D)  None of the above 
A)  10 
B)  20.00 
C)  50 
D)  None of the above

Question 5

Choose the answer that best completes the following sentence.A graph that is increasing and concave up represents a function that is ...

Accepted Answer

A)  increasing at an increasing rate 
B)  increasing at a decreasing rate 
C)  decreasing at a decreasing rate 
D)  decreasing at an increasing rate 
A)  increasing at an increasing rate 
B)  increasing at a decreasing rate 
C)  decreasing at a decreasing rate 
D)  decreasing at an increasing rate

Question 6

The graph below shows the blood-glucose levels, in milligrams per deciliter, as a function of hours since a meal was ingested.The three graphs are for a healthy person (labeled normal), a prediabetic, and a diabetic person.During the period shown on the graph, what is the shortest time since eating that glucose levels are the same for a healthy person and a prediabetic? ​
​   ​
​
​

Accepted Answer

A)  About 6 hours after eating 
B)  About 3 hours after eating 
C)  At about 1 hour after eating 
D)  None of the above 
A)  About 6 hours after eating 
B)  About 3 hours after eating 
C)  At about 1 hour after eating 
D)  None of the above

Question 7

The graph below shows the fundraising   of the Republican National Committee, in millions of dollars, as a function of the date.The graph indicates that there are two solutions d of the equation   million.What two dates (approximately) correspond to these solutions? ​   ​

Accepted Answer

A)  About 2001 and 2009. 
B)  About 1995 and 2005 
C)  About 1993 and 2009 
D)  There is no solution. 
A)  About 2001 and 2009. 
B)  About 1995 and 2005 
C)  About 1993 and 2009 
D)  There is no solution.

Question 8

Below is a graph of a function   .Find the average rate of change in f from 1 to 3 . ​   ​
​

Accepted Answer

A)  3 
B)  2 
C)  4 
D)  None of the above 
A)  3 
B)  2 
C)  4 
D)  None of the above

Question 9

Which of the following stories best fits the graph below?

Accepted Answer

A)  I left home walking to class but forgot my book.I went back home for the book and then went to math class. 
B)  I left home and went to math class.After class I returned home. 
C)  I left English class, walked home for lunch, then went to math class. 
D)  I went from English class to math class.After math I walked home. 
A)  I left home walking to class but forgot my book.I went back home for the book and then went to math class. 
B)  I left home and went to math class.After class I returned home. 
C)  I left English class, walked home for lunch, then went to math class. 
D)  I went from English class to math class.After math I walked home.

Question 10

Below is a graph of a function   .Find the value of   . ​   ​
​

Accepted Answer

A)  8 
B)  2 
C)  15.20 
D)  None of the above 
A)  8 
B)  2 
C)  15.20 
D)  None of the above

Question 11

Choose the answer that best completes the following sentence.A point of inflection occurs where...

Accepted Answer

A)  concavity changes 
B)  concavity is at a maximum 
C)  the graph is increasing 
D)  the graph is bent 
A)  concavity changes 
B)  concavity is at a maximum 
C)  the graph is increasing 
D)  the graph is bent

Question 12

Which of the following stories best fits the graph below?

Accepted Answer

A)  I left home walking to class but forgot my book.I went back home for the book and then went to math class. 
B)  I left home and went to math class.After class I returned home. 
C)  I left English class, walked home for lunch, then went to math class. 
D)  I went from English class to math class.After math I walked home. 
A)  I left home walking to class but forgot my book.I went back home for the book and then went to math class. 
B)  I left home and went to math class.After class I returned home. 
C)  I left English class, walked home for lunch, then went to math class. 
D)  I went from English class to math class.After math I walked home.

Question 13

The graph below shows the value, in dollars, of a foreign currency t years after 2000. For what two dates between 2000 and 2020 would earn you the most money if you bought the foreign currency on the first date and sold on the second?
​   ​

Accepted Answer

A)  Buy in 2002 and sell in 2008 
B)  Buy in 2008 and sell the same year 
C)  Buy in 2005 and sell in 2008 
D)  None of the above 
A)  Buy in 2002 and sell in 2008 
B)  Buy in 2008 and sell the same year 
C)  Buy in 2005 and sell in 2008 
D)  None of the above

Question 14

The graph below shows the fundraising of the Republican National Committee, in millions of dollars, as a function of the date.During the period shown on the graph when was the minimum amount of funds raised, and what was that amount? ​   ​
​
​

Accepted Answer

A)  The Committee raised 10 million dollars in 1993. 
B)  The Committee raised 17 million dollars in 1995. 
C)  The Committee raised 12 million dollars in 1997. 
D)  The Committee raised 21 million dollars in 2009. 
A)  The Committee raised 10 million dollars in 1993. 
B)  The Committee raised 17 million dollars in 1995. 
C)  The Committee raised 12 million dollars in 1997. 
D)  The Committee raised 21 million dollars in 2009.

Question 15

The graph below shows the value, in dollars, of a foreign currency t years after 2000. In what year from 2000 to 2020 did the value of the foreign currency reach its maximum, and what was that maximum value?
​   ​

Accepted Answer

A)  The maximum value of $1.80 occurred in 2008. 
B)  The maximum value of $1.20 occurred in 2005. 
C)  The maximum value of $1.40 occurred in 2002. 
D)  The maximum value of $0.90 occurred in 2020. 
A)  The maximum value of $1.80 occurred in 2008. 
B)  The maximum value of $1.20 occurred in 2005. 
C)  The maximum value of $1.40 occurred in 2002. 
D)  The maximum value of $0.90 occurred in 2020.

Question 16

The graph below shows the numbers, in thousands, of men and women of a given height in a population.This graph allows us to conclude that: ​   ​

Accepted Answer

A)  Women are taller than men. 
B)  The most common height for women is about 160 centimeters. 
C)  The most common height for men is about 170 centimeters. 
D)  There are fewer tall men than tall women. 
A)  Women are taller than men. 
B)  The most common height for women is about 160 centimeters. 
C)  The most common height for men is about 170 centimeters. 
D)  There are fewer tall men than tall women.

Question 17

The graph below shows the blood-glucose levels, in milligrams per deciliter, as a function of hours since a meal was ingested.The three graphs are for a healthy person (labeled normal), a prediabetic, and a diabetic person.The graph indicates that regardless of diabetic condition, blood-glucose reaches a maximum concentration about how many hours after eating? ​
​   ​
​
​

Accepted Answer

A)  About 110 milligrams per deciliter 
B)  About 70 milligrams per deciliter 
C)  About 1 hour after eating 
D)  About 4.5 hours after eating 
A)  About 110 milligrams per deciliter 
B)  About 70 milligrams per deciliter 
C)  About 1 hour after eating 
D)  About 4.5 hours after eating

Question 18

Below is a graph of a function   .Over what region(s) is the function increasing? ​   ​
​

Accepted Answer

A)  from 3 to 6 
B)  from 0 to 3 
C)  at   
D)  None of the above 
A)  from 3 to 6 
B)  from 0 to 3 
C)  at   
D)  None of the above

Exam 3: Functions Given by Graphs

Below is a graph of a function .What is the value of ? ​ ​ ​

Inflection points may occur where a function is increasing at the fastest rate.

Below is a graph of a function .Find the value of . ​ ​ ​

Choose the answer that best completes the following sentence.A graph that is increasing and concave up represents a function that is ...

The graph below shows the fundraising of the Republican National Committee, in millions of dollars, as a function of the date.The graph indicates that there are two solutions d of the equation million.What two dates (approximately) correspond to these solutions? ​ ​

Below is a graph of a function .Find the average rate of change in f from 1 to 3 . ​ ​ ​

Which of the following stories best fits the graph below?

Below is a graph of a function .Find the value of . ​ ​ ​

Choose the answer that best completes the following sentence.A point of inflection occurs where...

Which of the following stories best fits the graph below?

The graph below shows the value, in dollars, of a foreign currency t years after 2000. For what two dates between 2000 and 2020 would earn you the most money if you bought the foreign currency on the first date and sold on the second? ​ ​

The graph below shows the fundraising of the Republican National Committee, in millions of dollars, as a function of the date.During the period shown on the graph when was the minimum amount of funds raised, and what was that amount? ​ ​ ​ ​

The graph below shows the value, in dollars, of a foreign currency t years after 2000. In what year from 2000 to 2020 did the value of the foreign currency reach its maximum, and what was that maximum value? ​ ​

The graph below shows the numbers, in thousands, of men and women of a given height in a population.This graph allows us to conclude that: ​ ​

Below is a graph of a function .Over what region(s) is the function increasing? ​ ​ ​

Functions Given by Formulas

Functions Given by TableChas

Functions Given by Words

Table and Trends

Graphs

Solving Linear Equations

Solving Nonlinear Equations

Inequalities

Optimization

The Geometry of Lines

Linear Functions

Modeling Data with Linear Functions

Linear Regression

Systems of Equations

Exponential Growth and Decay

Constant Percentage Change

Modeling Exponential Data

Modeling Nearly Exponential Data

Logarithmic Functions

Logistic Functions

Power Functions

Modeling Data with Power Functions

Combining and Decomposing Functions

Quadratic Functions

Higher Degree Polynomials and Rational Functions

Velocity

Rates of Change for Other Functions

Estimating Rates of Change

Equations of Change Linear and Exponential Functions

Equations of Change Graphical Solutions

Filters

Below is a graph of a function .What is the value of ?

Below is a graph of a function .Find the value of .

The graph below shows the fundraising of the Republican National Committee, in millions of dollars, as a function of the date.The graph indicates that there are two solutions d of the equation million.What two dates (approximately) correspond to these solutions?

Below is a graph of a function .Find the average rate of change in f from 1 to 3 .

Below is a graph of a function .Find the value of .

The graph below shows the value, in dollars, of a foreign currency t years after 2000. For what two dates between 2000 and 2020 would earn you the most money if you bought the foreign currency on the first date and sold on the second?

The graph below shows the fundraising of the Republican National Committee, in millions of dollars, as a function of the date.During the period shown on the graph when was the minimum amount of funds raised, and what was that amount?

The graph below shows the value, in dollars, of a foreign currency t years after 2000. In what year from 2000 to 2020 did the value of the foreign currency reach its maximum, and what was that maximum value?

The graph below shows the numbers, in thousands, of men and women of a given height in a population.This graph allows us to conclude that:

Below is a graph of a function .Over what region(s) is the function increasing?