2. Determining Piecewise Function Behavior at a Point. a: Determine the function behavior of f (x) at x = 2. Solution: x - 8 f(x) = x2 First, draw the number line: Therefore, the function: b: Determine the function behavior of f (x) at x = 0. Solution: 3* + 3 x30 f (x) = 15x + 1 *=0 -x+4 x1 16x - 1 x51 Number line: Name: Calculus 2.2 CW - Piecewise Function Behavior b. Prove whether f(x) is continuous or not at Proof: x = -2. f(x) = x+1 x 2-2 1-2x + 1 x 1 b. f (1) =. Draw a number line and label the breaking point, as well as c. f (2) = the two equations: d. lim f(x) =_ x+1 e. lim f(x) = _ f. lim f(x) = x+1f( x) = x2 - 3x +9 for x $ 2 kx+ 1 for x > 2 3. The function f is defined above. For what value of &, if any, is f continuous at x = 2? (A) 1 (B) 2 (C) 3 (D) 7 (E) No value of & will make f continuous at x = 2