Answer:
The correct option is b.
Step-by-step explanation:
From the given graph it is noticed that the graph represents a parent rational function.
\(F(x)=\frac{1}{x}\)
As the value of x approaches towards a small negative number.
\(lim_{x\rightarrow 0^-}F(x)=lim_{x\rightarrow 0^-}(\frac{1}{x})\)
\(lim_{x\rightarrow 0^-}F(x)=\frac{1}{-0}\)
\(lim_{x\rightarrow 0^-}F(x)=-\frac{1}{0}\)
\(lim_{x\rightarrow 0^-}F(x)=-\infty\)
It means the value of F(x) is very large number when x is a very small negative number.
From the given graph it is clearly seen that the F(x) is very large number when x is a very small negative number.
Therefore option b is correct.
