Extreme Value Theorem And Extrema

 If (a,b) is a local minimum, then what will be true about f'(a)?

• It's positive
• It's negative
• It's zero
• Cannot be determined

What is the absolute max of this function?

• 0
• infinity
• DNE
• 2.5

Tags

CCSS.HSA.REI.D.10

What relative minima does this function have?

• 0

• 0 and 4

• -7.5 and 0

• 2.5

Tags

CCSS.HSA.APR.B.3

What is the absolute min of this function?

• 0
• -7.5
• -7.5 and 0
• 4

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.APR.B.3

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

What type of extrema is (-3,2). Be as precise as possible.

• minimum

• maximum

• relative minimum

• Relative maximum

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

What type of extrema is x=2. Be as precise as possible.

• minimum

• global maximum

• relative maximum

• relative minimum

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

Where are the critical points for f(x)=x²+3x

• beats me

• x= 1.5

• x= - 3/2

• uhhhhhh

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

Determine the minimum or maximum of the following function.

• Min: -3

• Max: -3

• Min: 3

• Max: 3

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

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

• a maximum.
• a minimum.
• no extrema.

Tags

CCSS.HSF.IF.C.7

For each problem, find the x-coordinates of all critical points.

• A

• B

• C

• D

Tags

CCSS.HSA.APR.B.3