Question

Given the graph of the function F(x) below, what happens to F(x) when x is a very large negative number?

A. F(x) is a very small positive number.
B. F(x) is a very large negative number.
C. F(x) is a very small negative number.
D. F(x) is a very large positive number.

Answer 1

Answer: Is a very large positive number

Explanation:

Answer 2

The graph shown above is f(x)=
`(1)/(x)`.

This is a type of power function which is f(x)=
`x^(a)` where a is the constant, in this case a is -1 so we get f(x)=
`(1)/(x)`.

In f(x)=
`(1)/(x)`, we put x a very large negative number as x is the denominator (1/very large number), give us very small negative number.

so,

f(x)=
`(1)/(x)`

x a very large negative number , f(x) is a very small negative number.

Option C is correct.