3.2 Extrema and Function Analysis (Blue)

How many extrema are in the picture?

• 2
• 3
• 4
• 5

Tags

CCSS.HSA.APR.B.3

What is the absolute max of this function?

• 0
• infinity
• DNE
• 2.5

Tags

CCSS.HSA.REI.D.10

What is the relative max of this function?

• 5
• infinity
• DNE
• 2.5

What relative minima does this function have?

• 0
• 0 and 4
• -7.5 and 0
• 2.5

Tags

CCSS.HSA.REI.D.10

What is the absolute min of this function?

• 0
• -7.5
• -7.5 and 0
• 4

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

Using your calculator, find the absolute max of this function

• -3.349
• 11.04
• 3.34
• -.09

What is the boundedness of this function?

• bounded above by y=11.04
• bounded below by y=11.04
• unbounded
• bounded above by y=11.04 and below by y=-0.09

What is the end behavior of this function?

• as x goes to infinity, f(x) goes to -infinity
• as x goes to -infinity, f(x) goes to -infinity
• as x goes to infinity, f(x) goes to -infinity AND as x goes to -infinity, f(x) goes to -infinity
• as x goes to infinity, f(x) goes to infinity

Where is this function decreasing?

• (-3.3,-.03)U(2.5,infinity)
• (-.03,-3.3)U(2.5,infinity)
• (-infinity,-3.3)U(-.03,2.5)
• (11.04,-.09)U(3.3,-infinity)

Where is this function decreasing?

• (-3.3,-.03)U(2.5,infinity)
• (-.03,-3.3)U(2.5,infinity)
• (-infinity,-3.3)U(-.03,2.5)
• (11.04,-.09)U(3.3,-infinity)