Continuity at a Point via Pictures Examples
Example 1
Look at the graph of the function f(x). The following three statements must all hold for f to be continuous at c.
For each given value of c, determine whether each of the three statements holds. Use this to determine whether f is continuous at the given value of c.

Example 2
Look at the graph of the function f(x). The following three statements must all hold for f to be continuous at c.
For each given value of c, determine whether each of the three statements hold. Use this to determine whether f is continuous at the given value of c.

Example 3
Look at the graph of the function f(x). Determine whether the function f is continuous at each given value. If not, explain.

Example 4
Look at the graph of the function g(x). Determine whether the function g is continuous at each given value. If not, explain.
