Q. 21 - Calculus

Question

Sketch the graphs of functions that have the given limits and values. (There are multiple correct answers.) 

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

Step-by-Step Solution

Answer

Step 1. Given information.

We have been given the limits and their values for a function:

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

We have to sketch the graph of this function.

Step 2. Graph the function

The graph is :