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Chapter 5: Q 12. (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

Bob Debra

Dave Karla

John Dawn

Chuck Phoebe

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

solve each equation. Verify your results using a graphing utility.

$9^{- x + 15} = 27^{x}$

A function $f$ has an inverse function. If the graph of $f$ lies in quadrant II, in which quadrant does the graph of $f^{- 1}$ lie?

Find $f (3 x)$ if $f (x) = 4 - 2 x^{2}$ .

If $5^{- x} = 3$ , what does $5^{3 x}$ equal?

The domain of a one-to-one functiong is $[0, 15]$ , and its range is $(0, 8)$ . State the domain and the range of $g^{- 1}$ .

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