Question

For the function F(x) = }, which of these could be a value of F(x) when xis
close to zero?

Answer 1

Given:

The graph of the function
`f(x)=(1)/(x)`.

To find:

The value of the function f(x), when x is close to zero.

Solution:

From the given graph it is clear that, f(x) approaches towards infinity and negative infinity as x approaches towards 0.

`f(x)\to \infty` as
`x\to 0^+`

`f(x)\to -\infty` as
`x\to 0^-`

In means, the value of must be very large positive value or very large negative if x is close to zero.

From the given options -10,000 is very large negative value.

So, the possible value of f(x) could be -10000 if x is close to 0.

Therefore, the correct option is A.