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Chapter 3: Problem 33

Use a graphing utility to graph the exponential function. $$y=3^{x-2}+1$$

Short Answer

Expert verified
By graphing the function \(y=3^{x-2}+1\) in a graphing utility, the resulting plot is an upward sloping curve, shifted 2 units to the right and 1 unit up from the standard exponential function. This shows the exponential growth of the function, especially for positive values of x.

Step by step solution

01

Define Exponential Function in the Graphing Utility

Enter the exponential function \(y=3^{x-2}+1\) into the graphing utility and ensure it is correctly written.
02

Graph the Exponential Function

Plot the graph on the graphing utility. The function should appear as an upward sloping curve.
03

Understand the Graph

The exponential graph represents the function \(y=3^{x-2}+1\). The graph is shifted 2 units to the right and 1 unit up from the origin due to the terms in the exponential function. The curve grows rapidly for positive x, indicating the exponential nature of the function.

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Most popular questions from this chapter

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