Piecewise Functions At least 2 equations, each of which applies to a different part of the functions domain. It is like having 3 equations for 3 different situations. F(x) = 2 when x has a value between -2 and 0 including -2 F(x) = 1 when x has a value between 0 and 2 including 0 F(x) = 0 when x has a value between 2 and 4 including 2
Piecewise Functions At least 2 equations, each of which applies to a different part of the functions domain. x y O 5
Piecewise Functions At least 2 equations, each of which applies to a different part of the functions domain. x y O 5 Find g(1) 2(1) +3 = 5 -1/3(-3) – 2 = -1 Find g(-3)
Piecewise Functions At least 2 equations, each of which applies to a different part of the functions domain. x y O 5 Find g(1) 2(1) +3 = 5 -1/3(-3) – 2 = -1 Find g(-3)
Piecewise Functions x y O 5 Find f(1) f(1) = 2 Find f(3) f(3) = -1
Piecewise Functions Practice: x y O 5 Find: f(-2) f(-1) f(0)
Piecewise Functions Practice: Find the domain: Locate any intercepts: x y O 5 Find the domain: Locate any intercepts: Graph Find the range: Is f continuous on its domain?