analyzing a graph to determine key features\nanalyze the functions graph to determine which statement is…

analyzing a graph to determine key features\nanalyze the functions graph to determine which statement is true.\nover the interval -2.5, 0.5, the local maximum is 2.\nas the x - values go to positive infinity, the functions values go to negative infinity.\nthe function is decreasing over the interval (-1, 0.75).\nthe function is negative for the interval -2, 0.

analyzing a graph to determine key features\nanalyze the functions graph to determine which statement is true.\nover the interval -2.5, 0.5, the local maximum is 2.\nas the x - values go to positive infinity, the functions values go to negative infinity.\nthe function is decreasing over the interval (-1, 0.75).\nthe function is negative for the interval -2, 0.

Answer

Explanation:

Step1: Analyze local - maximum

By observing the graph in the interval $[-2.5,0.5]$, the highest point has a $y$ - value of 2.

Step2: Analyze end - behavior

As $x\to+\infty$, the function's values go to $+\infty$, not $-\infty$.

Step3: Analyze decreasing interval

The function is increasing on $(-1,0.75)$.

Step4: Analyze sign of function

The function is positive on part of the interval $[-2,0]$.

Answer:

Over the interval $[-2.5,0.5]$, the local maximum is 2.