Chapter 1.5, Problem 5PPS

To determine

To calculate:To complete the function table and determine the domain and range

Answer to Problem 5PPS

Relation in table is given as follows

Weight of cat (lb)	Weight of dog (lb)
Input (x)	Output (y)
3	7
6	10
9	13
12	16

Domain is $\left\{3,6,9,12\right\}$ and range is $\left\{7,10,13,16\right\}$

Explanation of Solution

Given information:Dog weighs $4$ pounds more than the cat

Formula Used:

In an ordered pair $\left(x,y\right)$

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

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

Calculation:

Given that dogweighs $4$ pounds more than the cat

When $x=3$ , weight of dog, $y=3+4=7lb$

When $x=6$ , weight of dog, $y=6+4=10lb$

When $x=9$ , weight of dog, $y=9+4=13lb$

When $x=12$ , weight of dog, $y=12+4=16lb$

Hence, completed function table is as follows:

Weight of cat (lb)	Weight of dog (lb)
Input (x)	Output (y)
3	7
6	10
9	13
12	16

Domain and range are as follows:

  $D=\left\{3,6,9,12\right\}$

  $R=\left\{7,10,13,16\right\}$