Graphing Polynomials Checkpoint

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

• -∞
  -∞
• +∞
  -∞
• -∞
  +∞
• +∞
  +∞

What is the degree of the polynomial?

• 2
• 3
• 4
• 5

The function shown contains:

• Only one local maximum.

• Two local maximums.

• Two local minimums.

• Three local maximums

When determining where a graph is increasing/ decreasing use...

• x-values

• y-values

identify zeros

• (-1,0)

• (0,-1)

• (-0.333,1.333)

• (0.333,0)

What are the increasing intervals?

• $x<-1$ , $-1<x<0$ , $0<x<1$ , $x>1$

• $3<x<4$ , $3<x<8$

• $x<-1$ , $x>1$

• $-1<x<0$ , $x>1$

What are the decreasing intervals?

• $x<0$ , $x>2$

• $-1<x<0$ , $2<x<-4$

• $0<x<2$

• $0<x<-4$ , $0<x<2$

Select all the graphs which show even degree functions.

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