For the given x-value, use the figure to determine whether the function is continuous or discontinuous at that x-value.
A)discontinuous
B)continuous

Question

For the given x-value, use the figure to determine whether the function is continuous or discontinuous at that x-value. ​  ​  ​
A)discontinuous 
B)continuous

Quizplus · Accepted Answer

The function is discontinuous at x = 1 because there is a jump in the graph at that point. The value of the function on the left side of x = 1 is 1, while the value of the function on the right side of x = 1 is 2. Since the function has different values on either side of x = 1, it is not continuous at that point.

For the Given X-Value, Use the Figure to Determine Whether