Determine the interval(s) on which the given function is decreasing.

Polynomial going up from the left and passing through the point negative 1 comma 0 and going to a relative maximum at the point 0 comma 5 and then going down to a relative minimum at the point 1 comma 4 and then going up to the right

Answer Choices:
(–∞, –1) ∪ (1, ∞)
(–1, ∞)
(–∞, 0) ∪ (1, ∞)
(0, 1)

Respuesta :

Analyzing the text, we find that the function is decreasing over the following intervals: (0, 1)

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  • Polynomial going up from the left and passing through the point (-1,0), going to a relative maximum at the (0,5) and then going down to a relative minimum at the point (1,4).

Going from maximum to minimum, meaning that between them the function decreases, thus, the first interval it is decreasing is between (0,1).

  • Going up to the right:

Going up, increases.

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Thus, the function decreases over the following interval: (0, 1)

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