analyze the functions graph to determine which statement is true. over the interval -2.5, 0.5, the local…

analyze the functions graph to determine which statement is true. over the interval -2.5, 0.5, the local maximum is 2. as the x - values go to positive infinity, the functions values go to negative infinity. the function is decreasing over the interval (-1, 0.75). the function is negative for the interval -2, 0.

analyze the functions graph to determine which statement is true. over the interval -2.5, 0.5, the local maximum is 2. as the x - values go to positive infinity, the functions values go to negative infinity. the function is decreasing over the interval (-1, 0.75). the function is negative for the interval -2, 0.

Answer

Explanation:

Step1: Analyze local - maximum

Looking at the graph in the interval $[-2.5,0.5]$, the highest point in this interval 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 the interval $(-1,0.75)$.

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.