The graph of f(x) has x-intercepts at x=1, x=−5, and x=−9. The graph of f(x) resembles the graph of what function near the point x=1?
f(x)=(x−1)^6(x+5)(x+9)^3
a) y=x^3
b) y=x
c) y=x^6
d) y=x^7
e) y=x^9
f) None of the above
EXPERT ANSWER

The graph of f(x) has x-intercepts at x=1, x=−5, and x=−9. The graph of f(x) resembles the graph of what function near the point x=1?
f(x)=(x−1)^6(x+5)(x+9)^3
a) y=x^3
b) y=x
c) y=x^6
d) y=x^7
e) y=x^9
f) None of the above