Question

Use the graph to choose the best possible value for the limit below.

Answer 1

A function is said to have a limit if as as x approaches a particular value a, f(x) approaches a value on the y- coordinate.

From the graph given,

`\begin{gathered} x\rightarrow-\infty \\ f(x)\rightarrow-2 \end{gathered}`

Consider the image below.

From the image above, we can see that as x- approaches -∞, the graph is tending towards the red line which is assume to be -2.

Hence

`\lim _(x\rightarrow-\infty)f(x)=-2`

Therefore

Answer: -2 (Forth option)