Question

Sketch the graph of an example of a function f that satisfies the given conditions.

Answer 1

Step 1:

The expressions are , and .

Consider .

As  tends to  from left hand side, the function  approaches to .

Consider .

As  tends to  from right hand side, the function  approaches to .

Consider .

The value of    at is .

Graph the function such that all the conditions are satisfied.

Note: The solid circle indicates the value of the function.

Solution:

Graph of the function is drawn such that all the conditions are satisfied.