Let

g(x) =

x		if x < 1
4		if x = 1
2 − x2		if 1 < x ≤ 2
x − 3		if x > 2

(a) Evaluate each of the following, if it exists. (If an answer does not exist, enter DNE.)

(i) lim x→1⁻ g(x)

(ii) lim x→1⁺ g(x)
(iii) g(1)
(iv) lim x→2⁻ g(x)
(v) lim x→2⁺ g(x)
(vi) lim x→2 g(x)

Also what a graph of these functions might look like, Thanks!