Circuit Training - Functions: Piecewise, Abs. Value & Operations Ans: 6x - 4 Ans: 2|x - 31 + 3 # f (x) = 3x -4; g(x) = 2x+4 # f (x) = 3x - 4; g(x) = 2x+4 Find (f - g) (x). Find (fog) (x). (f - g)(x) =? (fog ) (x ) =? Ans: 6x + 8 Ans: 5x Ax) is made of a line, parabola and abs. f(x) is made of a line, parabola and abs. value function. Grid lines are 2 units apart. # value function. Grid lines are 2 units apart. 2x + b, x10 (2x+b, x 10 f (x) = 3 x2 + k, 0 II x s2 f (x) = 3x2 +k, 0 II x 52 g (x ), X III 2 g (x), X III 2 What is the inequality symbol Write g(x), the absolute value that has been replaced with III? function that makes up the far right piece of f (x). g(x) =? Ans: 2|x + 3|+ 3 Ans: S # # f (x) = 3x - 4; g(x) = 2x+4 y = |x - 2| Describe the transformation to the Find g(f (x)). absolute value function graph. g(f (x) ) =? Ans: > Ans: a vertical stretch of 2 Write the absolute value function. y = ? # f (x) = 3x - 4; g(x) = 2x+4 Find (f + g)(x). (f + g ) (x ) = ? 2014 Mark Kiraly; Ryan HS; Denton, TX