Answer:
(A) Over the interval [-2.5, 0.5], the local maximum is 2.
Step-by-step explanation:
<u>"Over the interval [-2.5, 0.5], the local maximum is 2."</u>
Correct. The local maximum is the maximum, or highest point, of the graph in a certain area of interval. In [-2.5, 0.5], the highest point is at the y-value of 2.
"<u>As the x-values go to positive infinity, the function's values go to negative infinity."</u>
Wrong. As the x values go to positive infinity (meaning they go to the right, or positive side of the graph), the function goes up, meaning the function's values go to positive infinity.
<u>"The function is decreasing over the interval (-1, 0.75)."</u>
Wrong. Only from [-1, 0] is where that area of the graph decreases. The other half of it, (0, 0.75), is where the graph increases.
<u>"The function is negative for the interval [-2, 0]."</u>
Wrong. Only from [-1, 0] is the function negative. In the interval [-2, -1], the function is positive.
Hope that helps (●'◡'●)