Chapter 5: Q. 38 (page 284)

In Problems $33 - 40$ , the graph of an exponential function is given. Match each graph to one of the following functions.

Short Answer

Expert verified

The function is $y = - 3^{x}$ and matches to (c)

Step by step solution

Given information

Given the graph

Checking the graph and forming the function

The graph has a horizontal asymptote of $y = 0$ , decreasing, and below the $x$ -axis. This means it involves a reflection of $y = 3^{x}$

The graph contains the points $(1, - 3), (0, - 1)$ and $(- 1, \frac{1}{3})$

Thus, the graph undergoes a reflection about the $x$ -axis of the function $y = 3^{x}$ .

Therefore, the graph has the function $y = - 3^{x}$ so the answer is Option $C$ .

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In Problems $33 - 40$ , the graph of an exponential function is given. Match each graph to one of the following functions.

Short Answer

Step by step solution

Given information

Checking the graph and forming the function

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In Problems 33-40, the graph of an exponential function is given. Match each graph to one of the following functions.

Short Answer

Step by step solution

Given information

Checking the graph and forming the function

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Applied Mathematics

Mechanics Maths

Geometry

Statistics

Pure Maths

Study anywhere. Anytime. Across all devices.

In Problems $33 - 40$ , the graph of an exponential function is given. Match each graph to one of the following functions.