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maximun and minimum

Total questions: 11

Worksheet time: 2hrs 50mins

Name

Class

Date

Find the local maximum and minimum

Local max at x = -3

Local min at x = -3

Local max at x = 1

Local min at x = -3

Local max at x = -3

Local min at x = 1

$\left(-\infty,\ \infty\right)$

Identify the local minimum

x = 8

x = 4

$\infty$

x = 2

Identify the global (or absolute) maximum.

-2

$\infty$

$-\infty$

What is the location of the absolute maximum for the graphed function?

x = 1

x = 3

x = 4

x = 5

Does Not Exist

What is the value of the absolute minimum for the following function?

f\left(x\right)=\left(x-2\right)^2-4

x = -4

x = 0

x = 2

x = 4

Does Not Exist

What is the location of the relative maximum within the given interval of the graphed function?

-5\le x\le0

x = -4

x = -2

x = 0

x = 3

Does Not Exist

What are the extrema of the graph?

Max = (2, -3), (1, 2)

Min = (-3, -1), (-1, 4)

Max = (-3, -1), (-1, 4)

Min = (2, -3), (1, 2)

Max = (-1, -3), (4, -1)

Min = (-3, 2), (2, 1)

Max = (-3, 2), (2, 1)

Min = (-1, -3), (4, -1)

How many extrema are there in this graph?

2 max, 2 min

3 max, 2 min

2 man, 3 min

3 increasing intervals, 2 decreasing intervals

2 increasing intervals, 3 decreasing intervals

How many extrema (max and mins) are in the picture?

10.

If f '(3) = 0 and f"(3) < 0, then which of the following must be true?

There is a local max at x=3

There is a local min at x = 3

There is an inflection point at x = 3

There is an x-intercept at x = 3

11.

What is the maximum value of f(x) = x³ - 3x² - 1 on the interval [-3, 2]?

-1

100 %

maximun and minimum

Total questions: 11

Worksheet time: 2hrs 50mins

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