Which of the following correctly describes the end behavior of g(x) = -2x3 + x² - 4? O A. As X→ - , f(x)→ ∞ and as x → 0, f(x)→ – o∞ O B. As X → - o0, f(x) → – 0 and as X → 0, f(x) → – - 0- oc O C. As X → - 0, f(x)→ – ∞ and as X → 0, f(x) → ∞ O D. As X → - 0, f(x)→ ∞ and as x → 0, f(x) → ∞

3) Do the following operations of functions. a) b) g(n) = n² + 4 + 2n h(n) = -3n + 2 Find (g - h)(1) h(1) = 21 + 1 g(1) = 21 + 2 Find (h – g)(t) c) d) f(n) = n – 5 g(n)= 4n +2 Find (f + g)( – 8) fа) -- 2а - 4 g(a) = a² + 3 Find ( f /g )(7)

3.- Find the general solution of the ODE "+3y"+3y+y=0

What is the end-behavior of the function f(x) = (x – 2)² . O As x approaches -00 , f(x) approaches oo O As x approaches -00 , f(x) approaches 0. O As x approaches - , f(x) approaches -00 O As x approaches -00 , f(x) approaches 2.

9) For h(x) = √√x² + 9 define two functions f(x) and g(x) such that h is the composite of f and g; in other words, decompose h into f and g so that h(x)=f(g(x))