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Chapter 2: Q. 2 (page 124)

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

4,-1,2,1,4,2

Short Answer

Expert verified

The given relation is not a function.

Step by step solution

01

Step 1. Given information.

Consider the given question,

4,-1,2,1,4,2

This relation is not a function.

02

Step 2. State the reason.

Consider the given question,

The two ordered pairs,4,-1,4,2have the same first elements 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

True or False The independent variable is sometimes

referred to as the argument of the function.

A wire 10meters long is to be cut into two pieces. One piece will be shaped as an equilateral triangle, and the other piece will be shaped as a circle.

Part (a): Express the total area Aenclosed by the pieces of wire as a function of the length x of a side of the equilateral triangle.

Part (b): What is the domain of A?

Part (c): Graph A=Ax. For what value of xis Asmallest?

Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function and show all stages. Be sure to show at least three key points. Find the domain and the range of each function. Verify your results using a graphing utility.

f(x)=x-13+2

When functions are defined by more than one equation, they are called __________________ functions.
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