Chapter 3.1, Problem 13E

To determine

To calculate: To find the domain and range of the function represented by graph

Answer to Problem 13E

Domain isy $D=\left\{-2,-1,0,1,2\right\}$

Range is1 $R=\left\{-2,0,2\right\}$

Explanation of Solution

Given: Graph is

  

Formula Used:

Domain is the set of all first elements of ordered pair (x-coordinate)

Range is the set of all second elements of ordered pair (y-coordinate)

Calculation:

Graph is given as follows:

  

Set of ordered pairs is defined as follows:

3 $\left(-2,-2\right),\left(-1,0\right),\left(0,2\right),\left(1,0\right),\left(2,-2\right)$

Above set of ordered pairs is a function.

Domain is given as

  $D=\left\{-2,-1,0,1,2\right\}$

Range is given as

  $R=\left\{-2,0,2\right\}$

Conclusion:

Hence, domain is $D=\left\{-2,-1,0,1,2\right\}$ and range is $R=\left\{-2,0,2\right\}$