Grade 12 · Free practice

Continuity

The three-part definition, types of discontinuity, and the Intermediate Value Theorem.

Standards:AP Calc AB · Unit 1

Try it: three questions

Real questions from the practice bank. Tap an answer to check it.

Question 1 of 3

A function is defined as f(x) = (x² - 9)/(x - 3) for x ≠ 3. If we define f(3) = L to make f continuous at x = 3, what must L equal?

Question 2 of 3

A function is defined as f(x) = (x² − 9)/(x − 3) for x ≠ 3. What value should f(3) be assigned so that f is continuous at x = 3?

Question 3 of 3

A function f is defined by f(x) = (x² − 9)/(x − 3) for x ≠ 3. What value should f(3) equal to make f continuous at x = 3?

How this fits in

Continuity is one skill in the Intro to Calculus unit. Students read the unit lesson, then earn a bronze, silver, or gold medal on their last 10 answers. Medals never go down. A mastered unit comes back for review after 1, 3, 7, 16, and 35 days so it stays learned.

Practice continuity until it sticks

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