Answer:
-6 ≤ f(x) ≤ 4
Explanation:
The range is all of the y-values within a function.
Finding Range
As stated above, the range is the y-values covered by a graph. The y-values are listed on the vertical axis. To find the range of a graph, you need to identify the minimum and maximum y-values in the function.
The minimum y-value above is -6 and the maximum is 4. Just because these values are not at the ends of the graph (aka when x = -9 or 7) does not mean that they are not the minimum and maximum y-values. The range of this graph covers y-values between -6 and 4.
Inequality Notation
There are multiple ways to write range (with interval notation being one of the most commonly used). One way is inequality notation. In this notation, you write the range as an inequality that compares 3 values, the minimum, f(x), and the maximum. So, inequality notation looks like this:
Of course, the f(x) could be replaced with y. Now, we can plug our values into this format to get the range: -6 ≤ f(x) ≤ 4. Since there are no open circles on this graph, all values are included. However, if the min and max y-values were not included, then a regular less than sign (<) should be used in place of a less than or equal to sign (≤).
*Note that in interval notation this range is [-6, 4].