For the polynomial function below a List each real zero and

For the polynomial function below: (a) List each real zero and its multiplicity, (b) Determine whether the graph crosses or touches the x-axis at each x-intercept. (c) Determine the maximum number of turning points on the graph. (d) Determine the end behavior; that is, find the power function that the graph of f resembles for large values of |x|. f(x)= -8(x-9)(x+1)^2 (a) Find any real zeros of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The real zero(s) of f is/are. B. There are no real zeros. The multiplicity of the larger zero is. The multiplicity of the smaller zero is. (b) The graph the x-axis at the larger x-intercept. The graph the x-axis at the smaller x-intercept. (c) The maximum number of turning points on the graph is.

Solution

a) Zeros are 9,-1.

Multiplicity of 9 is 1 and that of -1 is 2.

b) The graph cuts the x axis at x=9 and touches the x axis at x=-1.

c) Maximum no. of turning points are 2.