Questions: Use the graph of the given function to determine the continuity at the indicated values. If the function is NOT continuous, state the type of discontinuity exhibited by the graph. Use the graph of the given function to identify the values of x for which the function is discontinuous. State the type of discontinuity exhibited by the graph.

Solution Steps

Examine the graph to identify the x-values where the function is not continuous. These are points where there are breaks, jumps, or holes in the graph.

For each point of discontinuity identified in Step 1, determine the type of discontinuity. The types of discontinuity include:

• Jump discontinuity: The function has different left-hand and right-hand limits.
• Infinite discontinuity: The function approaches infinity at the point.
• Removable discontinuity: There is a hole in the graph, but the function can be redefined to make it continuous.

Summarize the x-values where the function is discontinuous and state the type of discontinuity for each.

Final Answer