Q. 28 - Calculus

Question

Sketch the graph of a function f described in Exercises 27–32, if possible. If it is not possible, explain why not. 

f is left continuous at x = 2 but not continuous at x = 2, and f(2) = 3.

Step-by-Step Solution

Answer

The graph of a function is

Step 1. Given Information.

The given function is left continuous at $x=2$ but not continuous at $x=2,$ and $f\left(2\right)=3.$

Step 2. Sketch the graph.

The graph of f that satisfy the given condition is