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Chapter 10: Q22. (page 528)

Sketch the graph of the function y=52x. Then state the function鈥檚 domain and range.

Short Answer

Expert verified

The domain of the function y=52x is -鈭�,鈭� and range is 0,鈭� whose graph is shown below.

Step by step solution

01

Step 1. Write down the given information.

The given function is y=52x.

02

Step 2. Sketch the graph for the given function.

The graph for the function y=52x using the graphing calculator is shown below.

03

Step 3. Interpretation from the graph.

From the graph it can be seen that,

x can take all the values from -鈭�to鈭�and ytakes all the positive values from 0to鈭� excluding 0.

Therefore, the domain of the function y=52x is -鈭�,鈭� and range of the function is0,鈭�.

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