Chapter 1, Problem 39CR

To determine

Each relation as a table $\left[\left(1,1\right),\left(2,4\right),\left(3,9\right),\left(4,16\right)\right]$ , and determine the domain and range.

Explanation of Solution

GIVEN:

  $\left[\left(1,1\right),\left(2,4\right),\left(3,9\right),\left(4,16\right)\right]$

Concept Used:

In rectangular coordinate system any point be in the form of $\left(x,y\right)$ .

• In Quadrant I, both the coordinates of ordered pair are positive, that is, $\left(+,+\right)$ .
• In Quadrant II, first number is negative and second is positive, that is, $\left(-,+\right)$ .
• In Quadrant III, both the coordinates of ordered pair are negative, that is, $\left(-,-\right)$ .
• In Quadrant IV, first point is positive and second is negative, that is, $\left(+,-\right)$ .

The relation as a table:

x	y
1	1
2	4
3	9
4	16

In order to determine the domain and range, in the given ordered pair the x-coordinate is domain and the y-coordinate is range .

So, the domain is $\left\{1,2,3,4\right\}$ and the range is $\left\{1,4,9,16\right\}$ .