Over what interval is the graph of f(x) = –(x + 8)2 – 1 decreasing?

The given function f(x) is decreasing on the interval : (-8, +∞)

Step-by-step explanation:

The function is given to be : f(x) = (x + 8)² - 1

To find the interval of decreasing, first find the critical points of the function f(x)

f(x) = (x + 8)² - 1

⇒ f'(x) = 2(x + 8)

Critical Point : x = -8

Now, Intervals are : (-∞ , -8) and (-8, +∞)

For the interval : (-∞ , -8)

f'(x) > 0 ⇒ f(x) is increasing on this interval.

For the interval : (-8, +∞)

f'(x) < 0 ⇒ f(x) is decreasing on this interval.

Hence, The given function f(x) is decreasing on the interval : (-8, +∞)

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step-by-step explanation:

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step-by-step explanation:

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must hold a learner's license for at least 12 months or until the 18th birthday.

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may have one traffic conviction within 12 months from the issue date of the learner's license if adjudication is withheld.

a parent, legal guardian, or responsible adult over 21 years old must certify that the driver has 50 hours driving experience, including 10 hours of night time driving.