Find the following for the function f(x) = (x+6)^2 (x-2)^2.
a) Find the x- and y-intercepts of the polynomial function f.
b) Find the power function that the graph of f resembles for large values of |x|.
c) Determine the maximum number of turning points on the graph of f.
d) Determine the behavior of the graph of f near each x-intercept.
e) Select the graph of f.
Find the following for the function f(x) = (x+6)^2 (x-2)^2. a) Find the x- and y-intercepts of the polynomial function f. b) Find the power function that the graph of f resembles for large values of |x|. c) Determine the maximum number of turning points on the graph of f. d) Determine the behavior of the graph of f near each x-intercept. e) Select the graph of f.
Solution
a) x-intercepts: -6 and 2 y-intercepts: 36*4 = 144 b) e^x c) 3 d) x-intercepts: take derivative: we get local minima at these points e) The second graph
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Find the following for the function f(x) - (x+6)^2 (x-2)^2- a) Find th.docx
1. Find the following for the function f(x) = (x+6)^2 (x-2)^2.
a) Find the x- and y-intercepts of the polynomial function f.
b) Find the power function that the graph of f resembles for large values of |x|.
c) Determine the maximum number of turning points on the graph of f.
d) Determine the behavior of the graph of f near each x-intercept.
e) Select the graph of f.
Find the following for the function f(x) = (x+6)^2 (x-2)^2. a) Find the x- and y-intercepts of the
polynomial function f. b) Find the power function that the graph of f resembles for large values
of |x|. c) Determine the maximum number of turning points on the graph of f. d) Determine the
behavior of the graph of f near each x-intercept. e) Select the graph of f.
Solution
a) x-intercepts: -6 and 2 y-intercepts: 36*4 = 144 b) e^x c) 3 d) x-intercepts: take derivative: we
get local minima at these points e) The second graph
