Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

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Basic Polynomial Graphs - Problem 9

Alissa Fong
Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

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A real zero that occurs with odd multiplicity will result in a value where the graph of f(x) crosses the x-axis, whereas a zero with even multiplicity represents an x-value where the graph of f(x) "bounces" at the zero. Once you have determined the x-intercepts and their multiplicities, you will want more key features to help draw the graph of f(x). To find the y-intercept, as always, let x = 0. Consider the end behavior to sketch the direction in which your y-values will go as x gets very large or very small.

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