given the function

Question

Given the function 

Its -intercept is ___ 

Its -intercept(s) is/are 

As  ,  __

As  ,  __

Answer 1

1) y intercept is when x = 0. P(0) = (-1)^-10 = ((-1)²)^-5 = 1^-5 = 1

2) x intercept is when y = 0. = (x-1)^2(x-5) --> x = 1

3) lim (x-1)^2(x-5) = lim e^{2(x-5)ln(x-1)} = e^∞ = ∞

x→∞ x→∞

4) lim (x-1)^2(x-5) = lim e^{2(x-5)ln(x-1)} = e^-∞ = 0

x→-∞ x→-∞