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Chapter 9: Q7. (page 592)

State whether the given sentence is true or false. If false, replace the underlined term to make a true sentence.

An example of an exponential function is y=3x.

Short Answer

Expert verified

The sentence, 鈥淎n example of an exponential function is y=3x. 鈥� istrue.

Step by step solution

01

Step 1. Define the meaning of a function.

In mathematics, a function is a rule or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

02

Step 2. Define an exponential function.

An exponential function is a function that can be described by an equation of the form y=abx where,a鈮�0,b>0 and b鈮�1 .

03

Step 3. Check whether the given sentence is true or false.

Observe the function y=3x.

This function is of the form y=abx, where, a=1and b=3.

Since, a鈮�0,b>0and b鈮�1.

So, the function y=3xis an example of an exponential function.

Therefore, the sentence, 鈥淎n example of an exponential function is y=3x. 鈥� is true.

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