Chapter 10: Q7. (page 527)

Sketch the graph of the function $y = 2 {(\frac{1}{3})}^{x}$ . Then state the function’s domain and range.

Short Answer

Expert verified

The domain of the function $y = 2 {(\frac{1}{3})}^{x}$ is $(- \infty, \infty)$ and range is $(0, \infty)$ whose graph is shown below.

Step by step solution

Step 1. Write down the given information.

The given function is $y = 2 {(\frac{1}{3})}^{x}$ .

Step 2. Sketch the graph for the given function.

The graph for the function $y = 2 {(\frac{1}{3})}^{x}$ 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 $- \infty to \infty$ and ytakes all the positive values from $0 to \infty$ excluding 0.

Therefore, the domain of the function $y = 2 {(\frac{1}{3})}^{x}$ is $(- \infty, \infty)$ and range of the function is $(0, \infty)$ .

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Sketch the graph of the function $y = 2 {(\frac{1}{3})}^{x}$ . Then state the function’s 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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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.

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Sketch the graph of the function $y = 2 {(\frac{1}{3})}^{x}$ . Then state the function’s domain and range.