Min and Max

 $For\ f\left(x\right)=x^3+2x^2+1\ \det er\min e\ \ f'\left(x\right)\ and\ the\ critical\ values$  

What are the local maxima of this graph?

• local maximum at (2.2, 3.9)
• local maximum at (-8, 5)
• local maximum at (5, -8)⋃(3.9, 2.2)
• local maximum at (-8, 5)⋃(2.2, 3.9)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

When is the velocity decreasing?

• 0 < t < 60
• 40 < t < 60
• 15 < t < 40
• −40 < t < 0

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

When is the velocity decreasing?

• 0 < t < 60
• 40 < t < 60
• 15 < t < 40
• −40 < t < 0

What is the absolute max?

• (0, 36)
• (−2.55, −6.55), (2.55, −6.55)
• (−∞, ∞)
• None

Tags

CCSS.HSF-IF.C.7A

4 is a(n)...

• Absolute Maximum

• Absolute Minimum

• Local Maximum

• Local Minimum

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

What is the absolute max?

• (0, 36)
• (−2.55, −6.55), (2.55, −6.55)
• (−∞, ∞)
• None

When is this function increasing?

• $\left(-2.5,2.5\right)$

• $\left(0,5\right)$
  

• $\left(0,55\right)$
  

• $\left(-5,0\right)$
  

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The blue dot on this graph represents a(n)...

• Absolute Maximum

• Absolute Minimum

• Relative Maximum

• Relative Minimum

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

f(x) = 2x³ - 3x² + 4x -10

What is the degree of f(x)?

• 3

• 2

• 1

• 0