Graphing Polynomials Worksheet
Practice graphing polynomial functions, identifying roots, end behavior, and turning points.
Includes
Standards
Graphing Polynomials
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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