Analyzing Polynomial Graphs

This graph is decreasing on the intervals...

• ( -∞, -2 ) U ( 2, ∞ )

• ( -∞, 0 ) U ( 4, ∞ )

• ( -2, 2 )

• ( 0, 4 )

This graph increases from...

• ( -1, 1 )

• ( 0, 4 )

• [ -1, 1 ]

• [ 0, 4 ]

This is increasing on the interval (s)...

• ( - ∞, -2 ) U ( 2, ∞ )

• ( - ∞, 16 ) U ( -16, ∞ )

• ( -2, 2 )

• ( - ∞, -2 )

The degree of this function is...

• Even

• Odd

To determine if the degree of a function is even or odd, look at the...

• x-values

• y-values

• Maximum/ Minimum

• End behaviors

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

• -∞
  -∞

• +∞
  -∞

• -∞
  +∞

• +∞
  +∞

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

• -∞
  -∞

• +∞
  -∞

• -∞
  +∞

• +∞
  +∞

Graph the polynomial function f\left(x\right)=x^3-2x^2-5x+6.  Given that x=-2, find the other real zeros.

Graph the polynomial function f\left(x\right)=-2x^3+11x^2-10x-8. Given that x=4 is a zero of the function, find the other real zeros.

Graph the polynomial function f\left(x\right)=x^4+3x^3-10x^2-24x. Given that x=3 is a zero of the function, find the other real zeros.

Tags

CCSS.HSF-IF.C.7C