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Chapter 5: Q. 127 (page 288)

Do you think that there is a power function that increases

more rapidly than an exponential function whose base is greater than 1 ? Explain.

Short Answer

Expert verified

No, There is not any power function

Step by step solution

01

Step 1.Given information A power function like y = axAn exponential function like y = ex

For find any information about two curve , first we have to find insects point

02

Step.2 Compare both curves 

From graphs its clear that these curves intersects at x=o

for x>0

ex>ax

where base of exponential function is>1

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Most popular questions from this chapter

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

In Problems 61–72, the function f is one-to-one. Find its inverse and check your answer.

f(x)=42-x

As the base a of an exponential function fx=ax, where a>1increases, what happens to the behavior of its graph forx>o?What happens to the behavior of its graph for x<0?

If fx=ax, show that fA+B=fA.fB.

Solve the equation 5x=5-6

and verify your results using a graphing utility
See all solutions

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