e function has a minimum of
✓at x =
-2
he function is increasing on the interval(s):
The function is decreasing on the interval(s):
The domain of the function is:
-10-17
6
5
+
3
2
+
-2-
3
4
-5-
-6-
67

Question

01-09-2022
Mathematics

Answered

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e function has a minimum of
✓at x =
-2
he function is increasing on the interval(s):
The function is decreasing on the interval(s):
The domain of the function is:
-10-17
6
5
+
3
2
+
-2-
3
4
-5-
-6-
67

Sagot :

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Sqdancefanidn Sqdancefanidn · Answer 1 · 2022-09-01T15:33:57-04:00

Answer:

increasing: (-∞, -5) and (-2, ∞)

decreasing: (-5, -2)

Step-by-step explanation:

You want to know the intervals of increase and decrease for the cubic relation that has a relative maximum at (-5, 8) and a relative minimum at (-2, 5).

Increasing

A function is "increasing" when y values increase as x-values increase. The graph has positive slope, extending upward to the right.

The graph goes up to a relative maximum, so is always increasing on the interval to the left of a relative maximum.

The graph goes up from a relative minimum, so is always increasing to the right of a relative minimum.

A turning point is not included in the "increasing" interval, because the slope is 0 there (not positive).

This graph is increasing on the intervals ...

(-∞, -5) and (-2, ∞)

Decreasing

A function is "decreasing" when y values decrease as x-values increase. The graph has negative slope, extending downward to the right.

The graph goes down to a relative minimum, so is always decreasing to the left of a relative minimum.

The graph goes down from a relative maximum, so is always decreasing on the interval to the right of a relative maximum.

A turning point is not included in the "decreasing" interval, because the slope is 0 there (not negative).

This graph is decreasing on the interval ...

(-5, -2)

Sagot :

Increasing

Decreasing

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