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Chapter 5: Q. 86 (page 284)

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

Short Answer

Expert verified

The exponential function obtained isf(x)=5x.

Step by step solution

01

Step 1. Given information

Given graph of exponential function is

The graph passes through(-1,15),(0,1),(1,5).

02

Step 2. Finding exponential function.

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

which gives

5=a15=a

So the exponential function isf(x)=5x.

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Most popular questions from this chapter

Solve given equation and verify your result using graphing utility.

(e4)x.ex2=e12

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

A function fhas an inverse function. If the graph of f lies in quadrant II, in which quadrant does the graph of f-1lie?

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

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

fx=-ex
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