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## Writing and Graphing Polynomial Functions

Order ID:89JHGSJE83839Style:APA/MLA/Harvard/ChicagoPages:5-10

Instructions:Writing and Graphing Polynomial Functions

Learning Objectives

- Draw conclusions about a polynomial function from a graph
- Graph polynomial functions
- Write a formula for a polynomial function from a graph
- Determine equation of a polynomial given key information
Draw conclusions about a polynomial function from a graph

- Given the graph below, what can be concluded about the polynomial function based on the intercepts and turning points?
- Given the graph below, what can be concluded about the polynomial function based on the intercepts and turning points?
Graph polynomial functions

- Graph .
- Graph .
Write a formula for a polynomial function from a graph

- Write a formula for the polynomial function given the graph below.
- Write a formula for the polynomial function given the graph below.
Determine equation of a polynomial given key information

- Find the equation of a polynomial of degree 4 with zeros at and , and
y-intercept .

- Find the equation of a polynomial of degree 4 with zeros at and , and
y-intercept .

ANSWER KEY

- The graph has 3 x-intercepts, which suggests that a function has degree 4 or greater. It also has 3 turning points, which suggests that a function has degree of 4 or greater. So it can be concluded that the function is even and has degree of 4 or greater.
- The graph has 2 x-intercepts and 2 turning points. Also the two ends of the function are going in opposite directions. So the polynomial has a degree of 3 or greater and is an odd function.
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