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91Ó°ÊÓ

Begin with the graph of y=exand use transformation to graph the function. Determine the domain, range and horizontal asymptote of the function.

fx=ex+2

Short Answer

Expert verified

The graph of the function is given below,

Domain: All real numbers.

Range: y|y>0or0,∞

Horizontal asymptote:y=0

Step by step solution

01

Step 1. Given information.

Consider the given function,

fx=ex+2

First, plot the graph of y=ex. Then add 2and shift up by 2units,

02

Step 2. Determine the characteristics of the function.

Consider the given function,

fx=ex+2

From the graph, the domain of the function is all real numbers.

The range is y|y>0or in the interval 0,∞.

Horizontal asymptote isy=0.

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