y-3' -2 y=5 y-8 -2 -2 -1 -1 -1 2 2 2 3 3 What are possible values for x for exponential functions? Otherwise, is there any value for x that will give us an error if we plug it into an exponential equation?

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 44E: Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program...
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Name:
Worksheet #5: Graphing Exponentials
Date:
Block:
Fill in the following tables for the given equations.
y-3'
y-5
y-8
-2
-2
-2
-1
-1
-1
1
1
1
2
2
3
there any value for x that will give us an
What are possible values for x for exponential functions? Otherwise,
error if we plug it into an exponential equation?
Is there any value of x that will yield a value of 0 for y when plugged into an exponential equation?
Asymptote: an invisible line on a coordinate plane that a graph will never cross.
What is the general asymptote of an exponential equation? Use the graphs above as reference.
Looking at the tables above, is there a coordinate that all three tables have in common? If so, what is it?
When graphing exponential equations, it is beneficial to plot three points to get the general shape of the graph.
A good set of x values to use for graphing is x = -1,0,1. Plug these three values into the given equation and plot
the points. Then sketch the graph to the best of your ability. Keep the asymptote in mind when graphing.
What is the asymptote?
y-6
What is the y intercept?
-1
y=6-
y-6° -1
1
y=6' -6
Transcribed Image Text:Name: Worksheet #5: Graphing Exponentials Date: Block: Fill in the following tables for the given equations. y-3' y-5 y-8 -2 -2 -2 -1 -1 -1 1 1 1 2 2 3 there any value for x that will give us an What are possible values for x for exponential functions? Otherwise, error if we plug it into an exponential equation? Is there any value of x that will yield a value of 0 for y when plugged into an exponential equation? Asymptote: an invisible line on a coordinate plane that a graph will never cross. What is the general asymptote of an exponential equation? Use the graphs above as reference. Looking at the tables above, is there a coordinate that all three tables have in common? If so, what is it? When graphing exponential equations, it is beneficial to plot three points to get the general shape of the graph. A good set of x values to use for graphing is x = -1,0,1. Plug these three values into the given equation and plot the points. Then sketch the graph to the best of your ability. Keep the asymptote in mind when graphing. What is the asymptote? y-6 What is the y intercept? -1 y=6- y-6° -1 1 y=6' -6
Expert Solution
Step 1

Since you have asked multiple question in this one question, I will answer the first three questions and if you need help with further more questions form this page please raise them as a separate question again.

So  to fill the first box plugin each  values for  x in the exponential function  y=3x  as follows;

x y=3x
-2 y=3-2=132=19
-1 y=3-1=13
0 y=30=1
1 y=31=3
2 y=32=9
3 y=33=27

 

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