Draw a graph of a function of [0,5] with the following properties.

Question

(A) f(x) is not continuous at x=2 but lim_x->2⁺f(x) and lim_x->2^-f(x) exist and are equal.

(B) f(x) has a jump discontinuity at x=1, a removable discontinuity at x=2, the lim_x->4⁺f(x)=+inf and the lim_x->4^-f(x)=-inf.

(C) f(2)=4, lim_x->2^-f(x)=1, lim_x->2⁺f(x)=3, lim_x->4f(x) exists but not equal to f(4).

Answer 1

The graphs are in the video. I hope they help!