Wk4EYB_JTorres_Revisions.docx

# Wk4EYB_JTorres_Revisions.docx - Week Number_4 Problem...

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Week Number__4 __ Problem Number __4 ___ W4.4 Group Members who worked on this problem: Consider the function 2 8 4 ) ( 2 3 x x x x f to determine each of the following: a. The function’s end behavior b. The x -intercept(s). Make sure to clearly state whether the graph crosses the x -axis OR touches the x -axis and turns around at each intercept c. The y -intercept d. Does the graph have y -axis symmetry, origin symmetry, or neither? Make sure to explain. Calculations Explanations of Calculations a.) f ( x ) = 4 x 3 8 x 2 x + 2 4x 3 3 is odd 4 is positive Graph falls to the left and rises to the right. We use the leading co-efficient test to determine the end behavior of the function. Leading coefficient = 4x 3 The degree is 3. Odd – degree polynomial functions have graphs with opposite behaviors at each end. The leading coefficient, 4, is positive. This means that the behavior of the graph falls to the left, and rises to the right.

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