Graphing Polynomials Worksheet
Practice graphing polynomial functions, identifying roots, end behavior, and turning points.
Includes
Standards
Graphing Polynomials
Name:
Date:
Score:
Follow the instructions for each section. Show all your work where applicable.
1. Describe the end behavior of a polynomial function with an odd degree and a positive leading coefficient.
2. How many turning points can a polynomial function of degree 'n' have?
3. Which of the following functions has a root at x = 2 with a multiplicity of 2?
f(x) = (x - 2)(x + 1)
f(x) = (x - 2)^2(x - 3)
f(x) = (x + 2)^2(x - 1)
f(x) = x(x - 2)
4. A polynomial graph that crosses the x-axis at a root has a multiplicity that is .
5. A polynomial graph that touches the x-axis and turns around at a root has a multiplicity that is .
6. Graph the polynomial function f(x) = (x + 2)(x - 1)(x - 3) on the coordinate plane below. Label all x-intercepts and describe the end behavior.
End Behavior:
7. The degree of a polynomial function determines the maximum number of x-intercepts it can have.
True
False
Related Worksheets
Rationalizing Radicals Worksheet
Grade 9 Math worksheet focusing on rationalizing single and binomial denominator radicals.
Solving Square Root Equations
Practice solving square root equations with various levels of complexity. This worksheet covers isolating the radical, squaring both sides, and checking for extraneous solutions.
Zero Product Property Worksheet
Practice solving quadratic equations using the Zero Product Property for Grade 9 algebra.
Simplifying Polynomials Worksheet
Grade 9 Math worksheet focusing on simplifying polynomials through addition, subtraction, and multiplication.
Pascal's Triangle Worksheet
Explore the patterns and properties of Pascal's Triangle, including its construction, binomial coefficients, and relationships to other mathematical concepts.
Solving Three-Step Equations
This worksheet provides practice for grade 9 students in solving linear equations that require three steps.
Elimination Method Worksheet
Practice solving systems of linear equations using the elimination method for Grade 9 students.
Rearranging Equations Worksheet
A Grade 9 math worksheet focusing on rearranging algebraic equations to solve for different variables.