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Chapter 5: Q 11. (page 267)

Determine whether the function is one-to-one

Short Answer

Expert verified

Yes, the given function is one-to-one

Step by step solution

01

Step 1. Definition

A function is said to be one-to-one if any two different inputs in the domain correspond to two different outputs in the range.

02

Step 2. Explanation

In given function:

Input Output

20Hours $200

25Hours $300

30Hours $350

40Hours $425

The given function is one-to-one because there are no distinct inputs that correspond to the same output

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Most popular questions from this chapter

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

localid="1646160286433" fx=5-e-x

If f(7)=3 and f is one-to-one, what isf-1(13)?

If g(-5)=3 and g is one-to-one, what is g-1(3)?

Solve given equation and verify your result using graphing utility.

e3x=e2-x

Ideal Body Weight One model for the ideal body weight W for men (in kilograms) as a function of height h (in inches) is given by the function

W(h)=50+2.3h-60

(a) What is the ideal weight of a 6-foot male?

(b) Express the height has a function of weight W.

(c) Verify that h=Whis the inverse of W=Whby showing that role="math" localid="1646158219737" h(W(h))=h and W(h(W))=W.

(d) What is the height of a male who is at his ideal weight of 80 kilograms?

[Note: The ideal body weight W for women (in kilograms) as a function of height h (in inches) is given byrole="math" localid="1646159253780" Wh=45.5+2.3(h-60).
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