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Chapter 2: Q. 26 (page 69)

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

{(-2,16),(-1,4),(0,3),(1,4)}

Short Answer

Expert verified

The domain of function is{-2,-1,0,1} and range is{3,4,16}

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.

{(-2,16),(-1,4),(0,3),(1,4)}

02

Step 2. This relation is a function because there are no ordered pairs with the same first element and different second elements. 

The domain is the set of all the values of x.

Domain:{-2,-1,0,1}

03

Step 3. The range is the set of all values of y

Range:{3,4,16}

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Most popular questions from this chapter

The set of all images of the elements in the domain of a function is called the _________.

A circle of radius ris in inscribed in a square. See the figure.

Part (a): Express the area A of the square as a function of the radius rof the circle.

Part (b): Express the perimeter p of the square as a function of the radius rof the circle.

Match each graph to its function.

A. Constant function

B. Identity function

C. Square function

D. Cube function

E. Square root function

F. Reciprocal function

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H. Cube root function

Match each graph to its function.

A. Constant function

B. Identity function

C. Square function

D. Cube function

E. Square root function

F. Reciprocal function

G. Absolute value function

H. Cube root function

True or False

The graph of y=-f(x)is the reflection about the x-axis of the graph of y=f(x).
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