By analyzing when the piecewise function increases and when it decreases, we can conclude that the true statement is:
"The function is increasing over the interval −8≤x≤−2."
Which statements are true?
We know that our function is made of straight lines that connect:
- Point (-8, 3) with (-2, 8) {This is an increasing line}
- Point (-2, 8) with (2, 8) {This is a horizontal line}
- Point (3, 0), and (7, -7) {This is a decreasing line}
(to see if it increases or decreases, compare the y-value of the second and first point. If the second is larger, then the line increases).
Then the statement that is true is:
3) "The function is increasing over the interval −8≤x≤−2."
If you want to learn more about piecewise functions, you can read:
https://brainly.com/question/3628123
