Unit5 Test 5.1-5.4

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Back

x = -1

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What does MVT stand for in calculus?

Back

Mean Value Theorem

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Back

Front

True or False: The function has an absolute minimum.

Back

False

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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When f'(x) changes from positive to negative, there is(are)...

Back

a maximum.

Front

Define a critical point in calculus.

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A critical point is where the derivative f'(x) is zero or undefined.

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What is the purpose of the Mean Value Theorem?

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It guarantees that there is at least one point c in the interval where the instantaneous rate of change equals the average rate of change.

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State the Extreme Value Theorem (EVT).

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If a function is continuous on a closed interval, then it has both a maximum and minimum on that interval.

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What does it mean if f'(x) > 0 on an interval?

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The function f(x) is increasing on that interval.

Tags

CCSS.HSF.IF.B.4

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What does it mean if f'(x) < 0 on an interval?

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The function f(x) is decreasing on that interval.

Tags

CCSS.HSF.IF.B.4