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."
<h3>Which statements are true?</h3>
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:
brainly.com/question/3628123
I think is is (-6,1.5) correct me if i am wrong
Your answer would be <span>30 m²!
: D</span>
Answer: 
<u>Step-by-step explanation:</u>
Isolate w by performing the following steps
- Multiply by 6 on both sides to clear the denominator
- Subtract 3 from both sides
- Divide both sides by 2
![y=\dfrac{1}{2}+\dfrac{w}{3}\\\\\\6\bigg[y=\dfrac{1}{2}+\dfrac{w}{3}\bigg]\quad \implies \quad 6y=3+2w\\\\\\6y-3=3-3+2w\quad \implies \quad 6y-3=2w\\\\\\\dfrac{6y-3}{2}=\dfrac{2w}{2}\quad \implies \quad \large\boxed{\dfrac{6y-3}{2}=w}](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B1%7D%7B2%7D%2B%5Cdfrac%7Bw%7D%7B3%7D%5C%5C%5C%5C%5C%5C6%5Cbigg%5By%3D%5Cdfrac%7B1%7D%7B2%7D%2B%5Cdfrac%7Bw%7D%7B3%7D%5Cbigg%5D%5Cquad%20%5Cimplies%20%5Cquad%206y%3D3%2B2w%5C%5C%5C%5C%5C%5C6y-3%3D3-3%2B2w%5Cquad%20%5Cimplies%20%5Cquad%206y-3%3D2w%5C%5C%5C%5C%5C%5C%5Cdfrac%7B6y-3%7D%7B2%7D%3D%5Cdfrac%7B2w%7D%7B2%7D%5Cquad%20%5Cimplies%20%5Cquad%20%5Clarge%5Cboxed%7B%5Cdfrac%7B6y-3%7D%7B2%7D%3Dw%7D)
