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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

the function f is one-to-one. Find its inverse and check your answer.

f(x)=x2+33x2x>0

Determine the exponential function whose graph is given.

Evaluate each expression using the graphs of y=f(x)and y=g(x)shown in the figure.

(a)g鈭�f-1 (b) g鈭�f0(c) f鈭�g-1(d) f鈭�g4.

Begin with the graph of y=exand use transformation to graph the function. Determine the domain, range and horizontal asymptote of the function.

fx=ex-1

In Problems 41-52, use transformations to graph each function. Determine the domain, range, and horizontal asymptote of each function.

y=2x+1
See all solutions

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