Question

Find the following function
f(x)=(x+5)^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) The maximun number of turning points on the graph of f is=
d) What is the behavior of the graph near the x-int 2?
y=
What is the behavior of the graph near the x-int -5?
y=

Answer 1

For the x-intercept, take the y and substitute 0 in it's place, and solve for x. (y in this case is f(x), so 0 = (x+5)^2(x-2)^2 and solve that for x.
For the y-intercept, do the same thing, except solve for y and replace x with 0. so y = (0+5)^2(0-2)^2 solve that for y.