Quadratic Function and Polynomials

• As x goes to positive ∞, y goes to positive ∞ 
  As x goes to negative ∞, y goes to negative ∞
• As x goes to positive ∞, y goes to negative ∞ 
  As x goes to negative ∞, y goes to positive ∞

What is the degree classification of this polynomial?
x²+4x-8

• binomial

• trinomial

• quadratic

• cubic

The degree of a polynomial can be determined by the largest powered monomial of the polynomial.  
What is the degree of the polynomial:
f(x) = 3x² + 4x - 5

• Degree 2  (quadratic)

• Degree 3 (cubic)

• Degree 4 (quartic)

• Degree 5 (quintic)

The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph.  
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = -2x² + 3x 

• Left up    Right up

• Left up   Right down

• Left down  Right up

• Left down   Right down

What is the factored form of a function if it has zeros of 2, 3 and -1 and all factors have a multiplicity of 1?

• (x-2)(x-3)(x+1)

• (x-1)(x-2)(x-3)

• (x-1)(x+2)(x+3)

• (x+1)(x+2)(x+3)

Tags

CCSS.HSA.APR.B.3

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

• -∞
  -∞

• +∞
  -∞

• -∞
  +∞

• +∞
  +∞

Is the leading coefficient positive or negative

• positive

• negative

What is the interval of increase?

• (negative infinity, -2)

• (-2, infinity)

• (2, infinity)

• (negative infinity, 2)

Tags

CCSS.HSF-IF.C.7A

The domain of a polynomial function is always (-∞, +∞).

• True

• False

The range of a polynomial function is always (-∞, +∞).

• True

• False