SOLUTION: Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the end behavior.

Algebra ->  Graphs -> SOLUTION: Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the end behavior.       Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
Express the function definition, x^3-11x^2+36x-36.
Rendering makes it appear x%5E3-11x%5E2%2B36x-36.

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 f%280%29=-36.


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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.