AP Calculus ABmediummcq1 pt

Let f(x)=xxf(x)=\dfrac{|x|}{x}. Which type of discontinuity does ff have at x=0x=0?

A.Jump discontinuity
B.Removable discontinuity
C.Infinite discontinuity
D.No discontinuity; ff is continuous at x=0x=0.

Explanation

Core Concept

For x<0x<0, xx=1\frac{|x|}{x}=-1; for x>0x>0, xx=1\frac{|x|}{x}=1. The one-sided limits are two different finite values, so the graph jumps at x=0x=0.

Correct Answer

AJump discontinuity

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