Chapter 10: Q3. (page 527)

Match each function with its graph.
$y = 5^{x}$

Short Answer

Expert verified

$y = 5^{x}$ is represented by the graph:

Step by step solution

Step 1. Given Information.

The function $y = 5^{x}$ is to be matched with its graph among the following:

Step 2. Explanation.

A function is said to be exponential is the variable is in the exponent i.e., of the form $y = a b^{x} + c$

The function has x in the exponent i.e., the degree of the function is a variable.

Hence the function is an exponential function.

And since the base is greater than 1, the function is an increasing function.

Hence the graph is either option a or c.

Also when $x = 0$ :

$\begin{array}{l} y = 5^{x} \\ y = 5^{0} \\ y = 1 \end{array}$

Among options a and c, the graph shown in option c passes through $y = 1$ .

Hence the function is represented by the graph in option c.

Step 3. Conclusion.

Hence, $y = 5^{x}$ is represented by the graph in option c:

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Match each function with its graph.
$y = 5^{x}$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Explanation.

Step 3. Conclusion.

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Match each function with its graph.y=5x

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Explanation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Logic and Functions

Calculus

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Applied Mathematics

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Study anywhere. Anytime. Across all devices.

Match each function with its graph.
$y = 5^{x}$