Chapter 1.5, Problem 1CYU

To determine

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

Answer to Problem 1CYU

Relation in table is given as follows

Number of Touchdowns	Number of Points
Input (x)	Output (y)
1	6
2	12
5	30
7	42

Domain is $\left\{1,2,5,7\right\}$ and range is $\left\{6,12,30,42\right\}$

Explanation of Solution

Given information:Team scores 6 points for each touchdown

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 team scores 6 points for each touchdown

When $x=1$ , number of points, $y=6\left(1\right)=6$

When $x=2$ , number of points, $y=6\left(2\right)=12$

When $x=5$ , number of points, $y=6\left(5\right)=30$

When $x=7$ , number of points, $y=6\left(7\right)=42$

Hence, completed function table is as follows:

Number of Touchdowns	Number of Points
Input (x)	Output (y)
1	6
2	12
5	30
7	42

Domain and range are as follows:

  $D=\left\{1,2,5,7\right\}$

  $R=\left\{6,12,30,42\right\}$