Finding Polynomial Functions from Graphs

Practice identifying key features of polynomial graphs and using them to write polynomial functions.

Grade 8 Math AlgebraFinding Polynomial Function From a Graph

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Includes

2 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSA.APR.B.3CCSS.MATH.CONTENT.HSA.CED.A.2

Topics

algebrapolynomialsgraphsfunctions

7 sections · Free to use · Printable

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Finding Polynomial Functions from Graphs

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Read each question carefully and provide the best answer based on the given polynomial graphs. Remember to identify intercepts, end behavior, and multiplicity of roots.

1. For the graph below, identify the zeros and their multiplicities.

Zeros:

Multiplicities:

2. Which of the following polynomial functions could represent a graph that rises to the left and falls to the right?

f(x) = x^3 - 2x + 1

f(x) = -x^4 + 3x^2 - 2

f(x) = -x^3 + 5x - 4

f(x) = x^2 - 4x + 3

3. If a polynomial graph has 3 turning points, its degree must be at least .

4. A polynomial graph that falls to the left and rises to the right has an degree and a leading coefficient.

5. A polynomial function has zeros at x = -2 (with multiplicity 2), x = 1, and x = 3. Write a possible equation for this polynomial function in factored form.

6. A polynomial graph can have more x-intercepts than its degree.

True

False

7. If a graph touches the x-axis and turns around at an x-intercept, the multiplicity of that zero is even.

True

False