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Hotmath Practice Problems

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Title:
Hotmath Algebra 2
Author:
Hotmath Team
 
Free
Chapter:Rational Expressions, Equations and ExponentsSection:Graphing Rational Functions
 

Problem: 1

Find a rational function whose graph has two asymptotes:

x = 4 and x = 8


Problem: 3

Is the function continuous or discontinuous? If discontinuous, find the x–value(s) at which the function is undefined.


Problem: 5

Is the function continuous or discontinuous? If discontinuous, find the x–value(s) at which the function is undefined.


Problem: 7

Find the horizontal and vertical asymptotes of the graph of the function and then give the domain and range.


Problem: 9

Find the horizontal and vertical asymptotes of the graph of the function and then give the domain and range.


Problem: 11

Locate the x–intercepts and vertical asymptotes of the graph of the function.


Problem: 13

Locate the x–intercepts and vertical asymptotes of the graph of the function.


Problem: 15

Find the vertical asymptotes.


Problem: 17

Find the vertical asymptotes.


Problem: 19

Graph.


Problem: 21

Draw the graph of the function,


Problem: 23

Sketch the graph of .


Problem: 25

Draw the graph of the function and then find the domain and range.


Problem: 27

Sketch the graph of .


Problem: 1

Find a rational function whose graph has two asymptotes:

x = 4 and x = 8


Problem: 3

Is the function continuous or discontinuous? If discontinuous, find the x–value(s) at which the function is undefined.


Problem: 5

Is the function continuous or discontinuous? If discontinuous, find the x–value(s) at which the function is undefined.


Problem: 7

Find the horizontal and vertical asymptotes of the graph of the function and then give the domain and range.


Problem: 9

Find the horizontal and vertical asymptotes of the graph of the function and then give the domain and range.


Problem: 11

Locate the x–intercepts and vertical asymptotes of the graph of the function.


Problem: 13

Locate the x–intercepts and vertical asymptotes of the graph of the function.


Problem: 15

Find the vertical asymptotes.


Problem: 17

Find the vertical asymptotes.


Problem: 19

Graph.


Problem: 21

Draw the graph of the function,


Problem: 23

Sketch the graph of .


Problem: 25

Draw the graph of the function and then find the domain and range.


Problem: 27

Sketch the graph of .