Question

Determine the range of the following graph:

12
11
10
9
7
6
5
3
-12-11-10-9-8-7-5-4-3-2-1,
-3
4
-5
-6
8
-9
-10
-11
12
23456
h
8 9 10 11 12
Help pls

Answer 1

[-11,11).

Explanation:

To graphically determine the range of a function, we'll just have to determine from where to where it moves vertically.

In this case, the lowest part of the graph is located in y= -11, and it's marked with a filled circle, which means that the function contains the value of -11.

Also, the highest part of the graph is on y= 11, and it's marked with an empty circle, which means that the function doesn't contain the value of 11.

For this case, we write the range of this graph in the following fashion:

[-11,11).

Pay attention to the square bracket that we place next to the -11 and the parenthesis next to 11. The square bracket next to the -11 means that the function contains the value of -11. On the other hand, The parenthesis next to 11 means that the function doesn't contain the value of 11.

Answer 2

-11 ≤y < 11

Explanation:

The range is the values that y can take

The smallest value of y is -11

The maximum value of y is 11 but does not include 11.

-11 ≤y < 11