Given f(x) = x4 - 9x2, 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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Given f(x) = x4 - 9x2, 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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