Determine if the given function is continuous or not, using 3 steps. a. f(x) = 3...

Transcribed Image Text:

Determine if the given function is continuous or not, using 3 steps. a. f(x) = 3 - x at x 2 b. f(x) = x2 – 4x – 2 at x = 1 c. f(x) : x-3 2x at x = 3 d. f(x) = at x e. f(x) = 6x – 6 at x = 0 %3! Sample three steps: 2.) Determine if the /(x) = x + 1 is continuous at x = 1. Solution: Step 1. Step 2. F(1) = 1+1= 2. lim (x + 1) = 1 + 1 = 2. lim f(x) 2 = f(1). So fis defined at x = 1. lim f(x) exist. So f(x) is continuous at x = 1. So Step 3. Determine if the given function is continuous or not, using 3 steps. a. f(x) = 3 - x at x 2 b. f(x) = x2 – 4x – 2 at x = 1 c. f(x) : x-3 2x at x = 3 d. f(x) = at x e. f(x) = 6x – 6 at x = 0 %3! Sample three steps: 2.) Determine if the /(x) = x + 1 is continuous at x = 1. Solution: Step 1. Step 2. F(1) = 1+1= 2. lim (x + 1) = 1 + 1 = 2. lim f(x) 2 = f(1). So fis defined at x = 1. lim f(x) exist. So f(x) is continuous at x = 1. So Step 3.