Question 1

Sketch the graph of the function. ​   ​

Accepted Answer

A)  ​   
B)  ​   
C)  ​   
D)  ​   
E)  ​   
A)  ​   
B)  ​   
C)  ​   
D)  ​   
E)  ​   E

Question 2

The graph of a polynomial function is given. ​
​   ​
Find the coordinates of all local extrema.
​

Accepted Answer

A)    
B)    
C)    
D)    
E)    ,   
A)    
B)    
C)    
D)    
E)    ,   C

Question 3

Determine the end behavior of the graph of the function. ​   ​

Accepted Answer

A)    as   , and   as   
B)    as   , and   as   
C)    as   , and   as   
D)    as   , and   as   
E)    as   , and   as   
A)    as   , and   as   
B)    as   , and   as   
C)    as   , and   as   
D)    as   , and   as   
E)    as   , and   as   A

Question 4

Sketch the graph of the function. ​   ​

Accepted Answer

A)  ​   
B)  ​   
C)  ​   
D)  ​   
E)  ​   
A)  ​   
B)  ​   
C)  ​   
D)  ​   
E)  ​

Question 5

Sketch the graph of the function. ​   ​

Accepted Answer

A)  ​   
B)  ​   
C)  ​   
D)  ​   
E)  ​   
A)  ​   
B)  ​   
C)  ​   
D)  ​   
E)  ​

Question 6

Sketch the graph of the function. ​   ​

Accepted Answer

A)  ​   
B)  ​   
C)  ​   
D)  ​   
E)  ​   
A)  ​   
B)  ​   
C)  ​   
D)  ​   
E)  ​

Question 7

How many local maxima and minima does the polynomial have? ​   ​

Accepted Answer

A)  3 maxima and 1 minima 
B)  1 maxima 3 minima 
C)  1 maxima and 3 minima 
D)  2 maxima and 2 minima 
E)  3 maxima 4 minima 
A)  3 maxima and 1 minima 
B)  1 maxima 3 minima 
C)  1 maxima and 3 minima 
D)  2 maxima and 2 minima 
E)  3 maxima 4 minima

Question 8

Sketch the graph of the function. ​   ​

Accepted Answer

A)  ​   
B)  ​   
C)  ​   
D)  ​   
E)  ​   
A)  ​   
B)  ​   
C)  ​   
D)  ​   
E)  ​

Question 9

Sketch the graph of the function. ​   ​

Accepted Answer

A)  ​   
B)  ​   
C)  ​   
D)  ​   
E)  ​   
A)  ​   
B)  ​   
C)  ​   
D)  ​   
E)  ​

Question 10

Graph the polynomial in the given viewing rectangle.
​   ,   by   ​
(a) From the graph, find the coordinates of all local maxima.
​
(b) From the graph, find the coordinates of all local minima.
​

Accepted Answer

The answer of Graph the polynomial in the given viewing...

Question 11

How many local maxima and minima does the polynomial have? ​   ​

Accepted Answer

A)  1 maximum and 2 minima 
B)  1 maximum and 0 minima 
C)  1 maximum and 1 minimum 
D)  2 maxima and 1 minimum 
E)  0 maxima and 2 minima 
A)  1 maximum and 2 minima 
B)  1 maximum and 0 minima 
C)  1 maximum and 1 minimum 
D)  2 maxima and 1 minimum 
E)  0 maxima and 2 minima

Question 12

How many local maxima and minima does the polynomial have? ​   ​

Accepted Answer

A)  2 maxima and 1 minimum 
B)  1 maximum and 0 minima 
C)  1 maximum and 2 minima 
D)  0 maxima and 1 minimum 
E)  1 maximum and 1 minimum 
A)  2 maxima and 1 minimum 
B)  1 maximum and 0 minima 
C)  1 maximum and 2 minima 
D)  0 maxima and 1 minimum 
E)  1 maximum and 1 minimum

Question 13

Sketch the graph of the function. ​   ​

Accepted Answer

A)  ​   
B)  ​   
C)  ​   
D)  ​   
E)  ​   
A)  ​   
B)  ​   
C)  ​   
D)  ​   
E)  ​

Question 14

Find the coordinates of all local extrema of the function. ​   ​

Accepted Answer

A)    ,   , and   ,   
B)    ,   , and   ,   
C)    ,   , and   ,   
D)    ,   , and   ,   
E)    ,   , and   ,   
A)    ,   , and   ,   
B)    ,   , and   ,   
C)    ,   , and   ,   
D)    ,   , and   ,   
E)    ,   , and   ,

Question 15

Graph the polynomial in the given viewing rectangle.
​   ,   by   ​
(a) From the graph, find the coordinates of all local maxima.
​
(b) From the graph, find the coordinates of all local minima.

Accepted Answer

The answer of Graph the polynomial in the given viewing...

Question 16

The graph of a polynomial function is given. ​   ​
Find the coordinates of all local extrema.
​

Accepted Answer

A)    ,   
B)    ,   
C)    ,   
D)    ,   
E)    
A)    ,   
B)    ,   
C)    ,   
D)    ,   
E)

Question 17

Sketch the graph of the function. ​   ​

Accepted Answer

A)  ​   
B)  ​   
C)  ​   
D)  ​   
E)  ​   
A)  ​   
B)  ​   
C)  ​   
D)  ​   
E)  ​

Question 18

Sketch the graph of the function. ​   ​

Accepted Answer

A)  ​   
B)  ​   
C)  ​   
D)  ​   
E)  ​   
A)  ​   
B)  ​   
C)  ​   
D)  ​   
E)  ​

Question 19

Sketch the graph of the function. ​   ​

Accepted Answer

A)  ​   
B)  ​   
C)  ​   
D)  ​   
E)  ​   
A)  ​   
B)  ​   
C)  ​   
D)  ​   
E)  ​

Question 20

Sketch the graph of the function. ​   ​

Accepted Answer

A)  ​   
B)  ​   
C)  ​   
D)  ​   
E)  ​   
A)  ​   
B)  ​   
C)  ​   
D)  ​   
E)  ​

Exam 25: Quadratic Functions

Sketch the graph of the function. ​ ​

The graph of a polynomial function is given. ​ ​ ​ Find the coordinates of all local extrema. ​

Determine the end behavior of the graph of the function. ​ ​

Sketch the graph of the function. ​ ​

Sketch the graph of the function. ​ ​

Sketch the graph of the function. ​ ​

How many local maxima and minima does the polynomial have? ​ ​

Sketch the graph of the function. ​ ​

Sketch the graph of the function. ​ ​

Graph the polynomial in the given viewing rectangle. ​ , by ​ (a) From the graph, find the coordinates of all local maxima. ​ (b) From the graph, find the coordinates of all local minima. ​

How many local maxima and minima does the polynomial have? ​ ​

How many local maxima and minima does the polynomial have? ​ ​

Sketch the graph of the function. ​ ​

Find the coordinates of all local extrema of the function. ​ ​

Graph the polynomial in the given viewing rectangle. ​ , by ​ (a) From the graph, find the coordinates of all local maxima. ​ (b) From the graph, find the coordinates of all local minima.

The graph of a polynomial function is given. ​ ​ Find the coordinates of all local extrema. ​

Sketch the graph of the function. ​ ​

Sketch the graph of the function. ​ ​

Sketch the graph of the function. ​ ​

Sketch the graph of the function. ​ ​

Functions Given by Formulas

Functions Given by TableChas

Functions Given by Graphs

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

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

Sketch the graph of the function.

The graph of a polynomial function is given. Find the coordinates of all local extrema.

Determine the end behavior of the graph of the function.

Sketch the graph of the function.

Sketch the graph of the function.

Sketch the graph of the function.

How many local maxima and minima does the polynomial have?

Sketch the graph of the function.

Sketch the graph of the function.

Graph the polynomial in the given viewing rectangle. , by (a) From the graph, find the coordinates of all local maxima. (b) From the graph, find the coordinates of all local minima.

How many local maxima and minima does the polynomial have?

How many local maxima and minima does the polynomial have?

Sketch the graph of the function.

Find the coordinates of all local extrema of the function.

Graph the polynomial in the given viewing rectangle. , by (a) From the graph, find the coordinates of all local maxima. (b) From the graph, find the coordinates of all local minima.

The graph of a polynomial function is given. Find the coordinates of all local extrema.

Sketch the graph of the function.

Sketch the graph of the function.

Sketch the graph of the function.

Sketch the graph of the function.