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For the function f(x)= 1/x-2 , whose graph is shown below. what is the relative value of F(x) when the value of x is close to 2?

A.either a very large positive or very large negative number
B.either a very small positive or very small negative number
C.only a very small positive number
D.a very large positive number
E.only a very large negative number

For the function fx 1x2 whose graph is shown below what is the relative value of Fx when the value of x is close to 2 Aeither a very large positive or very larg class=

Respuesta :

sqdancefan
The graph shows the correct choice to be
  A. either a very large positive or very large negative number

_____
Which of those it is depends on whether x is slightly more or slightly less than 2.
TaeKwonDoIsDead

Answer:

A


Step-by-step explanation:

This is a reciprocal function graph with an asymptote at x = 2.


An asymptote is a line that the graph comes close and close to, but never touches. This is the "line" where the function is not defined.

The equation is [tex]\frac{1}{x-2}[/tex], so u can see that we can't use the value x = 2 because it will make the denominator 0, hence x = 2 is the asymptote.


Now, if you look at the graph, when you approach x = 2 FROM THE RIGHT SIDE, the value of f(x) gets very large, going towards positive infinity.

When you approach x = 2 FROM THE LEFT SIDE, the value of f(x) gets very large, going towards negative infinity.


Answer choice A is right.

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