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Algebra II Piecewise Functions . Edited by Mrs. Harlow. Up to now, we’ve been looking at functions represented by a single equation. In real life, however, functions are represented by a combination of equations, each corresponding to a part of the domain.

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algebra ii piecewise functions

Algebra IIPiecewise Functions

Edited by Mrs. Harlow

slide2
Up to now, we’ve been looking at functions represented by a single equation.
  • In real life, however, functions are represented by a combination of equations, each corresponding to a part of the domain.
  • These are called piecewise functions.
evaluate f x when x 0 x 2 x 4
Evaluate f(x) when x=0, x=2, x=4
  • First you have to figure out which equation to use
  • You NEVER use both

X=4

X=2

X=0

This one fits

into the top

equation

So:

2(4) + 1 = 9

f(4) = 9

So:

0+2=2

f(0)=2

This one fits here

So:

2(2) + 1 = 5

f(2) = 5

This one fits here

graph
Graph:
  • For all x’s < 1, use the top graph (to the left of 1)
  • For all x’s ≥ 1, use the bottom graph (to the right of 1)
slide6

x=1 is the breaking

point of the graph.

To the left is the top

equation.

To the right is the

bottom equation.