Answer:
(A) Over the interval [-2.5, 0.5], the local maximum is 2.
Explanation:
"Over the interval [-2.5, 0.5], the local maximum is 2."
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.
"As the x-values go to positive infinity, the function's values go to negative infinity."
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.
"The function is decreasing over the interval (-1, 0.75)."
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.
"The function is negative for the interval [-2, 0]."
Wrong. Only from [-1, 0] is the function negative. In the interval [-2, -1], the function is positive.
Hope that helps (●'◡'●)