Question

100 points. Which is the graph of f (x) x - 1/ x2 - x 6

Answer 1

A – see below

Explanation:

You want to identify the graph of f(x) = (x -1)/(x² -x -6).

Factored form

The function can be factored as ...

`f(x) = (x-1)/((x-3)(x+2))`

The numerator is zero when x=1, so that is where the x-intercept lies.

The denominator is zero for x=-2 and x=3, so those are the locations of the vertical asymptotes.

The graph that has vertical asymptotes at x=-2 and x=3, and an x-intercept of x=1 is Graph A.

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