Piecewise Graphs A piecewise function is defined by at least two equations, each of which applies to a different part of the function’s domain. One example.

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Presentation transcript:

Piecewise Graphs A piecewise function is defined by at least two equations, each of which applies to a different part of the function’s domain. One example of a piecewise function is the absolute value function f(x) = |x|, which can be defined bythe equations y = -x for x 0.

Piecewise Graphs Another example is: g(x) = 2x – 1, if x < 1 3x + 1, if x > 1 Evaluate the function g(x) when a.x = 1 and b. x = 5 and c. x = -6

Piecewise Graphs q(x) = 4x – 3, if x > 3 5x + 2, if x < 3 Evaluate when a. x = -2 and b. x = 5 and c. x = 3

Piecewise Graphs Graph the function f(x) = -3/2x – 1, if x < -2 x + 1, if -2 < x < 1 3, if x > 1

Piecewise Graphs Graph the function p(x) = x, if x < -1 x + 1, if -1 < x < 2 -1, if x > 2