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Hotmath Practice Problems

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Title:
Hotmath Algebra 1
Author:
Hotmath Team
 
Free, Lessons
Chapter:Relations and FunctionsSection:Exponential Functions
 
Problem: 1

Find the y–intercept and draw the graph for the given function.

y = 4x + 6

Problem: 3

Find the y–intercept and draw the graph for the given function.

Problem: 5

Find the y–intercept and draw the graph for the given function.

Problem: 7

Check whether the point (0, 1) lies on the graph of the function y = 3x.

Problem: 9

Check whether the point (0, 1) lies on the graph of the function y = 4(5)x.

Problem: 11

Check whether the point (0, 1) lies on the graph of the function .

Problem: 13

Draw a graph for the exponential function y = –5x.

Problem: 15

Draw a graph for the exponential function y = –2(7)x.

Problem: 17

Draw a graph for the exponential function .

Problem: 19

Draw a graph for the exponential function .

Problem: 21

Sketch the graph of the function using a vertical shift.

Problem: 23

Sketch the graph of the function using a vertical shift.

f(x) = 3x – 5

Problem: 25

Sketch the graph of the function using a horizontal shift.

Problem: 27

Sketch the graph of the function using a horizontal shift.

Problem: 29

Sketch the graph of the function using a horizontal shift.

Problem: 31

Sketch the graph of the function using a reflection.

Problem: 33

Sketch the graph of the function using a horizontal shift.

Problem: 35

Suppose the percentage of Japanese people who are Elvis fans is modeled by

where t = 0 represents the year 2000.

Find a model for the number of Japanese people who aren't Elvis fans.

Problem: 37

Sketch the graph f(x) = 4x. Does it have an x–intercept? Does this tell you about the number of solutions of the equation 4x =0? Explain.