Suppose ƒ: (0, ∞) → (0, ∞) is a function such that lim f(x) exists 2+0 and equals 4. True or false: lim √f(x) exists and equals 2. I-0 True False

Explain why the function is discontinuous at the given number a. (Select all that apply.) 1 f(x) a = -5 X + 5 lim f(x) and lim f(x) are not finite, and are not equal. X→-5+ X--5 f(-5) and lim f(x) are finite, but are not equal. X→-5 lim f(x) does not exist. x--5 f(-5) is undefined. none of the above

Which of the following statements about the function y = ƒ(x)graphed here are true, and which are false? lim x →0- ƒ(x) = 0

The graph below is the function f(x) -5 -4 -3 -2 -1 lim x→a 5 4 3 27 x→a -1 -2 -3 -4 1 Determine which one of the following rules for continuity is violated at x = 2. f(x) exists. Of(a) is defined. Olim 4 5 f(x) = f(a).