What is the nature of f(x)=|x-4| at x=4?

D. continuous but not differentiable

Step 1: the absolute value graph has a sharp corner at x=4. Step 2: the function is continuous but left and right derivatives differ, so it is not differentiable. Step 3: tip: |x-a| has a corner at x=a.

Step 1: absolute value graph में x=4 पर sharp corner है। Step 2: function continuous रहता है पर left derivative और right derivative अलग होते हैं, इसलिए differentiable नहीं है। Step 3: tip: |x-a| में x=a पर corner आता है।