if a polynomial's end behavior is the same the function has this type of degree
What is even
Describe the end behavior.
y=-x2+2-3x3
What is up and down?
If the polynomial is odd then this happens to the end behaviors
What is they are different
What is the maximum number of turning points the following function can have?
y=x4+3x-1
What is 4-1=3 turning points.
If the polynomial is even and the lead coefficient is negative then the end behaviors
What is are both down
Identify over what intervals the following function is increasing and decreasing?
y=x3-3x+5
What is
Increasing
(-infinity, -1) U (1, infinity)
Decreasing
(-1, 1)
If the graph starts down and then ends up, the degree is___ , and the leading coefficient is ____
What is odd, positive
Identify over what intervals the following function is increasing and decreasing?
y=x^2-2x+1
What is
Decreasing
(-infinity, 1)
Increasing
(1, infinity)
this makes a graph start up and then end down
What is degree is odd, and leading coefficient is negative