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Chapter 10: Q28. (page 528)

Determine whether the function y=24xrepresents exponential growth or decay.

Short Answer

Expert verified

The given function y=24x representsexponential growth.

Step by step solution

01

Step 1. Write down the given information.

The given function is y=24x.

02

Step 2. Concept used.

The exponential function is of the form y=abx represents exponential growth if the base role="math" localid="1648150066366" b>1 and exponential decay if the base 0<b<1 for all a>0.

03

Step 3. Explanation.

From the concept stated above it can be interpreted that the function y=24x will represent exponential growth because the base (b) of the function y=24x is such that b>1. Hence, the given function y=24x represents exponential growth.

04

Step 4. Conclusion.

The given function y=24x represents exponential growth.

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