Polynomial Functions Relative Maximum and Minimum

Does this graph have an absolute minimum?

• Yes

• No

How many relative extrema are in the picture?

• 2

• 3

• 4

• 5

Match the EXTREMA

Accordingly

• at x=-2,

  x=3

• Absolute

  Maximum of

• NONE

• Absolute

  Minimum of

• at x=1

• Relative

  Maximum(s)

• -4

  when x=3

• Relative

  Minimum(s)

Match the EXTREMA

Accordingly

• at x=-1

• Relative

  Minimum(s)

• NONE

• Absolute

  Minimum of

• 2

  when x=1

• Relative

  Maximum(s)

• at x=-4,

  x=1

• Absolute

  Maximum of

Choose which given function values will guarantee an extrema.

• f(0)=-2, f(1)=0,

  f(11)=0

• f(-8)=0, f(0)=1,

  f(5)=3

• f(-1)=1 , f(3)=0 ,

  f(4)=0 , f(6)=8

• f(-5)=-8 , f(-3)=-2 ,

  f(0)=0 , f(3)= 7

Which of the following is true about the graph of the polynomial functions?

• I and IV

• I and II

• III and IV

• II and III

Describe the end behavior:

What is the relative minimum?

• (2,0)

• (4.67, -9.48)

• A.
• B.
• C.
• D.