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Confirming Continuity over an Interval

Hannah Hill

Hannah Hill

8 min read

Study Guide Overview

This study guide covers continuity over an interval for AP Calculus AB/BC, focusing on the definition of continuity, applying it to piecewise functions, and addressing common domain restrictions like square roots and rational functions. It includes practice problems and emphasizes checking left-hand and right-hand limits. The guide also provides final exam tips, highlighting common question types and pitfalls, and includes additional practice questions with answers and scoring.

Question 1 of 11

Is the function f(x)=x34x+7f(x) = x^3 - 4x + 7 continuous over the interval (,)(-\infty, \infty)? 🤔

Yes, it is continuous everywhere

No, it has a discontinuity at x = 0

No, it is only continuous on (0,)(0, \infty)

It is continuous on every interval except when x = 7