Graph Analysis Quiz

Using the figure provided, determine whether each letter is a local and/or absolute minimum or maximum. If none of them occur, write 'none'.

Tags

CCSS.HSA.REI.D.10

What is the slope of the tangent line at point d?

Tags

CCSS.HSF.IF.B.6

CCSS.HSF.IF.C.7

What is the slope of the tangent line occurring at point f?

Tags

CCSS.HSF.IF.B.4

CCSS.HSS.ID.C.7

What is the slope of the tangent line occurring at point g?

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

Determine the interval(s) where the function is increasing.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Determine the interval(s) where the function is decreasing.

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CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

CCSS.HSF.IF.C.7

For each letter, state whether it is concave up, down, neither, or an inflection point for the letters B, D, E, F, G.

• Concave up

• Concave down

• Neither

• Inflection point

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Use the first derivative to find the critical values for the function f(x) = 1/3x^3 - 2x^2. Then use the first derivative test to determine if they are minima, maxima, or neither.

Tags

CCSS.HSA.APR.B.3

Identify the intervals of concavity and points of inflection for the function f(x) = x^4 - 6x^3 + 40. Justify your answer.

Use the mean value theorem to find all x values where f'(x) = the average rate of change of f(x) for f(x) = 3 + √(x) on the interval [0,4].

Tags

CCSS.HSF.IF.B.6