Basic Polynomial Graphs - Concept

Concept Concept (1)

Graphing higher degree polynomial functions can be more complicated than graphing linear and a href="/math/algebra/quadratic-equations-and-functions/graphing-quadratic-equations">quadratic functions. Polynomial graphs can be graphs of functions where the degree of the highest term is greater than one. When we graph polynomials with varying degrees it is easier to identify the end behavior, shape and turning points.

Sample Sample Problems (13)

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Basic Polynomial Graphs - Problem 1

Graph:

f(x) = x²
Problem 1
How to graph a second degree polynomial.
Basic Polynomial Graphs - Problem 2

Graph:

f(x) = x³
Problem 2
How to graph a third degree polynomial.
Basic Polynomial Graphs - Problem 3

Graph:

f(x) = x⁴
Problem 3
How to graph a fourth degree polynomial
Basic Polynomial Graphs - Problem 4
Problem 4
Connecting end behavior of any higher degree polynomial to patterns in quadratic and cubic functions.
Basic Polynomial Graphs - Problem 5
Problem 5
Graphing a third degree polynomial with all real zeros using factoring by grouping.
Basic Polynomial Graphs - Problem 6
Problem 6
Graphing quadratic and cubic functions with focus on end behavior with all zeros multiplicity one.
Basic Polynomial Graphs - Problem 7
Problem 7
Graphing a third degree polynomial with irrational zeros from factored form.
Basic Polynomial Graphs - Problem 8
Problem 8
Graphing a fourth degree polynomial with all real zeros using synthetic division.
Basic Polynomial Graphs - Problem 9
Problem 9
Focus on multiplicity of zeros and how the graph will cross or bounce at certain x-intercept values.
Basic Polynomial Graphs - Problem 10
Problem 10
Comparing imaginary solutions with real zeros that show up as x-intercepts on a graph.
Basic Polynomial Graphs - Problem 11
Problem 11
Graphing a third degree polynomial from factored form with all real zeros.
Basic Polynomial Graphs - Problem 12
Problem 12
Graphing a fourth degree polynomial from factored form with even multiplicity of zeros.
Basic Polynomial Graphs - Problem 13
Problem 13
Finding irrational zeros of polynomials using the quadratic formula.