Determine the end behavior of the graph of the function. h(x) = 12x³ +9x²- -4x+8x-4 As x →→∞, h (x) and as x → ∞, h(x). x -∞ Ś

√(-1-x); (4) Let g(x) = { x²; 3x - 5; if x ≤ −1 if -1 2. (b) Sketch the graph of y = g(x).

The graph of the function is a translation of the graph of f(x) = x³. Graph the function. h(x) : (x + 4)3 + 1 y y 6- 4 4 2 2 X -6 -4 -2 -6 -4 -2 2 4 6 -2 -2 -4 -6F -6F y y 6- 6- 4 4 2 2 X -6 -4 -2 2 4 -6 -4 -2 2 4 6 -2 -2 -4 -4 -6F -6F

Determine the end behavior of the graph of the function. m (x) = −6(x-3) (3x + 1)²(x+4)4 As x→∞, m (x) — - and as x → ∞, m (x) 0. X ∞