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

100 points. Which is the graph of f (x) x - 1/ x2 - x 6-example-1
100 points. Which is the graph of f (x) x - 1/ x2 - x 6-example-1
100 points. Which is the graph of f (x) x - 1/ x2 - x 6-example-2
100 points. Which is the graph of f (x) x - 1/ x2 - x 6-example-3
100 points. Which is the graph of f (x) x - 1/ x2 - x 6-example-4
User Squeegy
by
2.9k points

1 Answer

24 votes
24 votes

Answer:

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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100 points. Which is the graph of f (x) x - 1/ x2 - x 6-example-1
User Lamostreta
by
3.4k points
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