Question

Find the following for the function f(x)=(x+5)^2(x-3)^2
a. Find the x & y intercepts of the polynomial function f.
b. determine whether the graph of f crosses or touches the x axis at each x intercept.
c.find the power function that the graph of f resembles for large values of |x|
d. Determine the maximum number of turning points on the graph of f
e. determine the behavior of the graph of f near each x intercept

Answer 1

x-intercept is when y=0. So set y=f(x) = 0
y-intercept is when x=0. So set x=0.
Start with that