Q. 28 - Calculus

Question

Consider the limit values below:

$\underset{x\to -\infty }{\lim }f\left(x\right)=-2,\underset{x\to 3}{\lim }f\left(x\right)=\infty \text{ and }f\left(2\right)=-1$

The strategy is to sketch the graph of the function having the above limit values

Step-by-Step Solution

Answer

Step 1. Given

The given limit values are

$\underset{x\to -\infty }{\lim }f\left(x\right)=-2,\underset{x\to 3}{\lim }f\left(x\right)=\infty \text{ and }f\left(2\right)=-1$

Step 2. Graph obtained