Graphing Polynomials

1
Chapter 2

• Graphing Polynomials

2
Definition of a Quadratic Function
3
Standard Form of Quadratic

• (vertex form)

4
Max/Min of Quadratic
5
X-intercepts (zeros)

• Factor
• Quadratic formula (no calc)

6
Graphing quadratic function

• Quadratic form

7
Graphing quadratic function

• Vertex form

8
Continuous Functions

• No breaks, holes or gaps
• No cusp
• No node

9
Leading Coefficient Testand Degree

• Odd degree
• Even degree

10
Real zeros of a polynomial function

• x a is a zero
• x a is a solution of f(x)0
• (x-a) is a factor
• (a,0) is an x-intercept

11
Sketching a polynomial function

• Find zeros
• Find y-intercept
• Use leading coefficient test and degree
• Multiplicity
• Sign chart