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Chapter 2: Q. 19 (page 68)

Determine whether each relation represents a function. For each function, state the domain and range.

{(2,6),(-3,6),(4,9),(2,10)}

Short Answer

Expert verified

This relation is not a function.

Step by step solution

01

Step 1. Given Information 

In the given question we have to determine whether each relation represents a function and for each function, we have to state the domain and range.

{(2,6),(-3,6),(4,9),(2,10)}

02

Step 2. This given relation is {(2,6), (-3,6), (4,9), (2,10)}.

This relation is not a function because there are two ordered pairs, (2,6)and , that have the same first element and different second elements.

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Most popular questions from this chapter

In Problems 7–18, match each graph to one of the following functions:

A.y=x2+2B.y=-x2+2C.y=x+2D.y=-x+2E.y=(x-2)2F.y=-(x+2)2G.y=x-2H.y=-x+2I.y=2x2J.y=-2x2K.y=2xL.y=-2x

Suppose that the graph of a function f is known. Then the graph of y=f(x-2)may be obtained by a(n) ________ shift of the graph of f to the ________ a distance of2 units.

True or False If no domain is specified for a function f, then the domain of fis taken to be the set of real numbers.

True or False The domain of (f.g)(x)consists of the numbers x that are in the domains of both fandg.

True or False

To obtain the graph of f(x)=x+2, shift the graph ofy=x horizontally to the right 2units.

See all solutions

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