Analyze the function's graph to determine which statement is true

Asked by maham237 @ 21/05/2021 in Mathematics viewed by 429 People

Over the interval [–2.5, 0.5], the local maximum is 2.
As the x-values go to positive infinity, the function’s values go to negative infinity. The function is decreasing over the interval (–1, 0.75).
The function is negative for the interval [–2, 0]

Answered by maham237 @ 21/05/2021

Let us examine the given statements:

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

2. As the x-values go to positive infinity, the function's values go to
negative infinity.
The opposite happens.
FALSE

3. The function is decreasing over the interval (-1, 0.75).
The function decreases in (-1, 0), but it increases in (0, 0.75).
FALSE

4. The function is negative for the interval [-2, 0].
The function is positive in [-2, -1). It is negative only in (-1, 0].
FALSE

Analyze the function's graph to determine which statement is true

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