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Chapter 5: Q. 88 (page 285)

In Problems 85-88, determine the exponential function whose graph is given.

Short Answer

Expert verified

The exponential function isf(x)=-ex.

Step by step solution

01

Step 1. Given information.

Given graph is

The graph passes through(-1,-1e),(0,-1),(1,-e).

02

Step 2. Finding exponential function.

Assume that the graph follows f(x)=ax.

which gives

-e=a1a=-e

So the exponential function obtained isf(x)=-ex.

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Most popular questions from this chapter

Vehicle Stopping Distance Taking into account reaction time, the distance d(in feet) that a car requires to come to a complete stop while traveling rmiles per hour is given by the function

localid="1646198784356" d(r)=6.97r-90.39

a. Express the speed rat which the car is traveling as a function of the distance localid="1646198792401" drequired to come to a complete stop

b. Verify that localid="1646198797631" r=r(d)is the inverse of localid="1646198802104" d=d(r)by showing that localid="1646198806352" r(d(r))=rand localid="1646198811055" d(r(d))=d

c. Predict the speed that a car was traveling if the distance required to stop was localid="1646198818232" 300feet.

d(r(d))=d

Solve given equation and verify your result using graphing utility.

ex2=e3x.1e2

Find f(3x)iff(x)=4-2x2.

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

f(x)=2x3x-1

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+2
See all solutions

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