AP Calculus ABhardmcq1 pt
The function f(x) = |x² - 4|/(x - 2) is continuous at x = 2 if we define f(2) as:
A.2
B.0
C.4
D.It cannot be made continuous
Explanation
Core Concept
For x ≠ 2: f(x) = |x²-4|/(x-2). When x > 2: f(x) = (x²-4)/(x-2) = x+2. When x < 2: f(x) = -(x²-4)/(x-2) = -(x+2). The right limit is 4 and left limit is -4. Since limits differ, it cannot be made continuous.
Correct Answer
C4
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