Find the following for the function f(x) =x2(x - l)(x2 + 1). Find the x- and y-intercepts of the polynomial function f. Determine whether the graph of f crosses or touches the x-axis at each x-intercept. Find the power function that the graph of f resembles for large values of |x|. Determine the maximum number of turning points on the graph of f. Determine the behavior of the graph of f near each x-intercept. Put all the information together to obtain the graph of f. The x-intercept(s) is (are) (Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
Solution
0=x^2 or 0=(x - 1) or 0=(x^2 + 1). Solve each equation for x. Final answers: 0, 1, 1i, -1i. **If you have not done any imaginary numbers (square root of a negative number), only use the first two answers**
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Find the following for the function f(x) -x2(x - l)(x2 + 1)- Find the.docx
1. Find the following for the function f(x) =x2(x - l)(x2 + 1). Find the x- and y-intercepts of the
polynomial function f. Determine whether the graph of f crosses or touches the x-axis at each x-
intercept. Find the power function that the graph of f resembles for large values of |x|. Determine
the maximum number of turning points on the graph of f. Determine the behavior of the graph of
f near each x-intercept. Put all the information together to obtain the graph of f. The x-
intercept(s) is (are) (Type an integer or a simplified fraction. Use a comma to separate answers as
needed.)
Solution
0=x^2 or 0=(x - 1) or 0=(x^2 + 1). Solve each equation for x. Final answers: 0, 1, 1i, -1i. **If
you have not done any imaginary numbers (square root of a negative number), only use the first
two answers**
