SOLUTION: Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the end behavior.
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Question 982159: Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the end behavior.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Express the function definition, x^3-11x^2+36x-36.
Rendering makes it appear .
Typical shape for polynomial based on x^3 is increasing from the far left, increasing toward the far right, and may or may not have a left side maximum and a right side minimum.
Try to factorize using synthetic division and Rational Roots Theorem. Binomial factors will indicate the x-intercepts. Obviously the y intercept is .
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Google showed a graph indicating the roots or zeros are 2, 3, and 6. You could get the same information using Rational Roots Theorem.
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