Question

Examine the following piecewise function.


A graph formed of straight line segments between the following points: (negative 8, 3), (negative 2, 8), (2, 8), (3, 0), and (7, negative 7).


© 2018 StrongMind. Created using GeoGebra.



Which statements are true?


Select all that apply.
1.The function is increasing over the interval 2≤x≤3

2.The function is increasing over the interval 2≤x≤3.

3.The function is increasing over the interval −8≤x≤−2.

4.The function is increasing over the interval −8≤x≤−2.

Answer 1

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