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(Solved): Analyze the graph of the given function f as follows: (15 pts.) 8) f(x)=3(x4)2(x+2)(x+5) (a) Det ...
Analyze the graph of the given function f as follows: (15 pts.) 8) f(x)=3(x−4)2(x+2)(x+5) (a) Determine the end behavior of the graph. (b) Find the x - and y-intercepts of the graph. (c) Determine whether the graph crosses or touches the x-axis at each x-intercept. Explain how you decided. (d) Determine the maximum number of turning points. (e) Find the domain of f. (f) Use the information obtained in (a) - (d) to draw a complete graph of the function by hand. Label all intercepts.