Extrema

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

• $\left(-\infty,\ \infty\right)$

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

Identify the local minimum

• x = 8

• x = 4

• $\infty$

• x = 2

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Identify the global (or absolute) maximum.

• -2

• 1

• $\infty$

• $-\infty$

Tags

CCSS.HSA.REI.D.10

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

• x = 1

• x = 3

• x = 4

• x = 5

• Does Not Exist

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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)

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

• 2

• 3

• 4

• 5

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the relative max?

• x = 0

• x = -2.55

• (-∞, ∞)

• None

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10