The graph shown above is f(x)= \(\frac{1}{x}\).
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)= \(\frac{1}{x}\).
In f(x)= \(\frac{1}{x}\), 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)= \(\frac{1}{x}\)
x a very large negative number , f(x) is a very small negative number.
Option C is correct.
