Question

What is the range of the following relation?

https://media.glynlyon.com/g_alg01_2013/3/graph2.gif


all real numbers
x ≤ 0
y ≤ 0

Answer 1

Range = y-values...it doesn't appear to ever be "positive" so what would this be?

Answer 2

The line that goes up and down is called the y-axis. The one the goes from left to right is called the x-axis. If you were going to put numbers on the graph, zero is in the middle of the graph where the x axis and y axis cross each other. The ordered pair in the middle is called (0,0). Which means x=0 and y=0.
Ordered pairs are in the form of (x coordinate, y coordinate).
Starting from 0 (where the x axis and y axis cross each other) start numbering. As you go up from 0, the numbers get bigger and are positive. As you go down from 0, the numbers get smaller and smaller and are negative (-1, -2, -3, ...). Think of temperature getting colder. On the graph of that function, the range is the y values. They start at 0 and get smaller and smaller and are NEGATIVE numbers. y is less than or equal to 0 is the Range.

Answer 3

I know you don't need it for this question, but it's still good to understand. To number the x axis, you would start at 0 (where the x axis and y axis cross each other). As you go to the right, the x values get bigger and are positive (1,2,3,4,...). If you go to the left of 0 on the x axis, the numbers get smaller and are negative (-1, -2, -3, ...). Remember that -10 is smaller than -1. Think of temperature. -10 is colder.