Critical points

Identify the critical points of the following function:
g(x)=2x³-3x²

• x=-1,1
• x=0,0
• x=0,-1
• x=0,1

Tags

CCSS.HSA.APR.B.3

What is the relative maximum value?

• y = 4
• y = 2
• y = 1
• y = -1

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Given a function g(x), if g'(x)=0 at a certain value of x, then g(x) has _____________ at x.

• an inflection point
• a critical point
• a minimum
• a maximum

For a function g(x), g'(-2)=0 indicates that x=-2 is ________________.

• an inflection point
• a critical point
• a relative maximum
• a relative minimum

What is the derivative of ax?

• a
• x
• 1
• 0

Find the derivative of the given equation
f(x) = x³ + x² + 3

• 3x² + 2x
• 3x + 2x 
• 3x + 2x + 3
• x³ + x² 

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

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

Find the *critical numbers of

f(x) = x² + 2x + 1

*Coordinate of x

• x = -1

• x = 2

• x = -1, 0

• x = 0

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Where do you find relative minimums and relative maximums?

• zeros
• y-intercepts
• turning points
• by degree

Find all the critical numbers of

f(x) = 2x³ – 6x² + 12

Select ALL that apply.

• x= 4

• x= 0

• x= -2

• x= 2

Tags

CCSS.HSA.APR.B.3