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Chapter 10: Q3. (page 527)

Match each function with its graph.

y=5x

Short Answer

Expert verified

y=5x is represented by the graph:

Step by step solution

01

Step 1. Given Information.

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

02

Step 2. Explanation.

A function is said to be exponential is the variable is in the exponent i.e., of the form y=abx+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:

y=5xy=50y=1

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.

03

Step 3. Conclusion.

Hence, y=5x is represented by the graph in option c:

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