Identifying Types of Functions from an Equation Classify each equation as linear, quadratic, or exponential: a. f(x) = 3x + 2 b. y = 5* c. f (x) = 2 d. f(x) = 4(2)* + 1 e. y = 7(.25) 3x f. y = 4x2 + 2x - 1 Identifying Types of Functions from a Graph Determine if the following graphs represent an exponential function, linear function, quadratic function, or neither. a. b. C. d. NY N X 10 N e. f g. h. (-2, 7) (-13 (1, 3) (1 4) (0. 2) (0. 1) -8 -8 -4 0 (1, 2) 8 -4 (2. +5) -8- -8Identifying Types of Functions from a Table Remember with linear functions, they have constant (same) first differences (add same number over and over Quadratic Functions have constant second differences. Exponential functions have constant ratios (multiply by same number over and over). Linear y X y f(x) = 2(3)' 2 3 J+2 6 5 3 1 2 + 1 2 18 x 3 + 3 8 2 3 54 x 3 11 3 6 + 1 4 167 x 3 4 11 Function Quadratic Function Exponential Function Determine if the following tables represent linear, quadratic, exponential, or neither and explain why. b. C. y X y y -2 7 1.5 -9 -1 4 0 3 9 0 1 1 6 3 27 1 -2 2 -5 2 12 5 45 e. F X Volleyball Tournament X f(x) = 2(3)* - 2 Round Teams Left 1 6 -1 W 16 18 0 N 2 8 1 3 3 4 2 54 2 6 4 2 162