The graph below is the function f(x) O Q -5 -4 -3 -2 -1 x→-2+ 5+ 4 3 2 x -1 -2 -3 -4 Determine the following values. Enter "DNE" if a value does not exist, enter "oo" (lower case "o") if the limit approaches positive infinity, or "-oo" if the limit approaches negative infinity. lim f(x) = x→-2- f(-2) = lim f(x) lim f(x): x→-2 3 4 5

Find a function that satisfies the given conditions and sketch its graph. lim h(x) = 5, lim h(x) = - 5, lim h(x) = 5, and lim h(x) = - 5 + X→0 X→ - 0 ..... Which of the following functions satisfies the given conditions? 5x O A. |x| 5 O B. x-5 5x С. OD. + 5 (x – 5)2

Identify each expression that represents the slope of a tangent to the curve 9 at any point (T, Y). 1 lim 0 (x +h+1) (x+ 1) -h -h lim ho h(x + 1)(x +h+ 1) lim -40 xh + 2xh + xh? +h? +h lim h40 h(x + h + 1) h(x + 1) -h lim h-40 (X+ 1)(x + h+1) -h -1 lim 0 x +2x+ xh +h+1 x2x+1

Find lim f(x+h-fx) ¸ if f(x) = 2x? – x + 3. I. 4х — 1 II. 63х — 1 III. Зx2 — 1 IV. 4x2 – 2