2x + 1 4. Let f(x) = * + 3 (a) Explain why the domain of f is (-oo, -3) U (-3, 00). x - - 3 - * + - 3+ (b) Find lim f(x) and lim f(x) analytically. Explain your reasoning. lim 2x + 1 lim 2x + 1 *-1-3- *+3 x--3+ x+3 Reasoning: Reasoning: (c) Find the axis intercepts of the graph algebraically. x-intercept: y-intercept: x-7-00 (d) Find lim f(x) and lim f(x) analytically. Explain your reasoning. lim 2x + 1 2x +1 x-7-0o x+3 lim x-too x+ 3 Reasoning: Reasoning