Given f(x) = x3 + 2x2 - x - 2, solve the following:  a. Use the Leading Coefficient Test to determine the graph’s end behavior. b. Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. c. Find the y-intercept. .d. Determine whether the graph has y-axis symmetry, origin symmetry, or neither. e. If necessary, find a few additional points and graph the function. Use the maximum number of turning points to check whether it is drawn correctly.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.8: Linear And Quadratic Functions
Problem 15OE
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Given f(x) = x3 + 2x2 - x - 2, solve the following:

 a. Use the Leading Coefficient Test to determine the graph’s end behavior.

b. Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept.

c. Find the y-intercept.

.d. Determine whether the graph has y-axis symmetry, origin symmetry, or neither.

e. If necessary, find a few additional points and graph the function. Use the maximum number of turning points to check whether it is drawn correctly.

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