Identify where a function is, and is not, continuous. {{CMD_4}} Understand the connection between continuity of a function and the value of a limit. {{CMD_5}} Make a piecewise function continuous. {{CMD_6}} State the Intermediate Value Theorem including hypotheses. {{CMD_7}} Determine if the Intermediate Value Theorem applies. {{CMD_8}} Sketch pictures indicating why the Intermediate Value Theorem is true, and why all hypotheses are necessary. {{CMD_9}} Explain why certain points exist using the Intermediate Value Theorem. {{COMMENT_10}} {{CMD_11}}