Given the polynomial: f(x) = (x^2)(x − 2) a. Find the x- and y- intercepts of the graph of f. b. Use the x-intercepts to find the intervals on which the graph of f is above the x-axis and the intervals on which the graph of f is below the x-axis. c. Locate other points on the graph and connect all the points plotted with a smooth,continuous curve.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 2CC: (a) Give the general form of polynomial function P of degree n. (b) What does it mean to say that c...
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Given the polynomial: f(x) = (x^2)(x − 2)

a. Find the x- and y- intercepts of the graph of f.

b. Use the x-intercepts to find the intervals on which the graph of f is above the x-axis and the intervals on which the graph of f is below the x-axis.

c. Locate other points on the graph and connect all the points plotted with a smooth,continuous curve.

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