Question 175228
"Find the x-and y-intercepts of f.
f(x)=(x-1)(x-8)(x+1)^2 
"


X-Int: x-1=0, x-8=0, (x+1)^2=0 -----> x=1, x=-1, and x=8


Y-Int: f(0)=(0-1)(0-8)(0+1)^2=(-1)(-8)(1)^2=8(1)=8


So answers are


x-intercepts: 1,-1,8
y-intercept: 8


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Graph x^2-8


{{{ graph( 300, 200, -6, 5, -10, 10, x^2-8) }}} 



Graph fails horizontal line test, so not one-to-one (inverse not possible).