Q25. Sketch the graph of the function... [FREE SOLUTION]

Chapter 10: Q25. (page 528)

Sketch the graph of the function $y = - {(\frac{1}{5})}^{x}$ . Then state the function鈥檚 domain and range.

Short Answer

Expert verified

The domain of the function $y = - {(\frac{1}{5})}^{x}$ is $(- 鈭�, 鈭�)$ and range is $(- 鈭�, 0)$ whose graph is shown below.

Step by step solution

Step 1. Write down the given information.

The given function is $y = - {(\frac{1}{5})}^{x}$ .

Step 2. Sketch the graph for the given function.

The graph for the function $y = - {(\frac{1}{5})}^{x}$ using the graphing calculator is shown below.

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 negative values from $- 鈭� to 0$ excluding 0.

Therefore, the domain of the function $y = - {(\frac{1}{5})}^{x}$ is $(- 鈭�, 鈭�)$ and range of the function is $(- 鈭�, 0)$ .

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Sketch the graph of the function $y = - {(\frac{1}{5})}^{x}$ . Then state the function鈥檚 domain and range.

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Sketch the graph for the given function.

Step 3. Interpretation from the graph.

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Sketch the graph of the function y=-15x. Then state the function鈥檚 domain and range.

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Sketch the graph for the given function.

Step 3. Interpretation from the graph.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

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Study anywhere. Anytime. Across all devices.

Sketch the graph of the function $y = - {(\frac{1}{5})}^{x}$ . Then state the function鈥檚 domain and range.