End and Root Behavior of Polynomials

• bounce

• cut

• squiggle

• 2

• 1

• 0

• 5

What is the End Behavior of the given graph f(x)?

Match the following End Behavior terminology and interpretations.

• as you move to the RIGHT

• the graph travels UP

• the graph travels DOWN

• as you move to the LEFT

In the above graph complete the following end behavior:

As x --> +∞, f(x) --> ____

As x --> -∞, f(x) --> ____

• -∞

  -∞

• +∞

  -∞

• -∞

  +∞

• +∞

  +∞

Is the leading coefficient positive or negative

• positive

• negative

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

• x-values

• y-values

• Maximum/ Minimum

• End behaviors

The blue dot on this graph represents a(n)...

• Absolute Maximum

• Absolute Minimum

• Local Maximum

• Local Minimum

Which of the following could be the equation of this graph in factored form? (Careful-pay attention to multiplicity.)

• f(x) = (x-4)(x-1)²(x+2)(x+4)

• f(x) = (x+4)(x+1)²(x+2)(x+4)

• f(x) = (x-4)(x-1)²(x-2)(x+4)

• f(x) = (x+4)(x+1)²(x-2)(x-4)

Which is true about the equation of the graph shown? Select 2 answers.

• The function has an odd degree

• The function has 2 imaginary roots

• It has one triple root and one double root

• The function has a negative leading coefficient