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Chapter 3.1

Q. 3.1.4

Transformations Involving Exponential Functions

Use the graph of f(x)=3^x to obtain the graph of g(x)=3^{x+1}.

Step-by-Step

Verified Solution

The graph of g(x)=3^{x+1} is the graph of f(x)=3^x shifted 1 unit to the left.

Begin with a table showing some of the coordinates for f.
x f(x)=3^x
-2 f(-2)=3^{-2}=\frac{1}{9}
-1 f(-1)=3^{-1}=\frac{1}{3}
0 f(0)=3^0=1
1 f(1)=3^1=3
2 f(2)=3^2=9
9