Question

Which graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1?

Answer 1

Because we have a vertical asymptote at x = 0 and a horizontal asymptote at y = -1, we conclude that the correct option is the last one.

Which graph represents the given function?

Here we have the function:

$f(x) = \frac{1}{x} - 1$

First notice that we have a vertical asymptote at x = 0, because we can't divide by zero.

Now, notice that when x tends to infinity or negative infinity, the first term becomes zero, then we have a horizontal asymptote at y = -1.

Then the correct option is the last one:

"On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = negative 1."

If you want to learn more about asymptotes:

brainly.com/question/1851758

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