Question

Which of the following rational functions is graphed below?

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A. F(x) = 1/2x
B. AX) = 1/x-2
C. F(x) = 1/x+2

Answer 1

B. f(x) = 1/x-2

Explanation:

Math is ez bro.

Answer 2

Option B.

Explanation:

We can see that we have an asymptote at x = 2

Remember that in a rational function, the asymptote is at the x-value such that the denominator is equal to zero.

So, the denominator is something like:

(x + a)

we have that the denominator is zero when x = 2

Then:

(2 + a) = 0

solving that for a, we get:

a = -2

Then the denominator of the rational function is:

(x - 2)

For the given options, the only one with this denominator is option B, then the correct option is B.