Draw the graph of a function f satsfying all of the following: The domain of f is (-1,+infinity), f is continuous at all points of its domain except at x=2 and x=3. f has a non-removable discontinuity at 2 and a removable discontinuity at 3. lim f(x)=0 as x approaches to the left hand limit of 2. lim f(x)=+infinity as x approaches to the right hand limit of -1. f(x)3.

Question

Draw the graph of a function f satsfying all of the following: The domain of f is (-1,+infinity), f is continuous at all points of its domain except at x=2 and x=3. f has a non-removable discontinuity at 2 and a removable discontinuity at 3. lim f(x)=0 as x approaches to the left hand limit of 2. lim f(x)=+infinity as x approaches to the right hand limit of -1. f(x)<0 exactly when x>3.

anonymous · Answer

put a vertical asymptote at 2 and a hole (open circle) at 3

anonymous · Answer

and then?

anonymous · Answer

|dw:1316386551632:dw|the vertical asymptote does not work as a non-removable discontinuity because of the left sided limit requirement