2. What is a Piecewise Function?
⢠A function that combines pieces of
different equations.
⢠Each piece is for a different domain
(set of x values).
⢠Example:
3. Why Are They Important?
⢠In real life, lots of problems are
modeled by piecewise functions.
⢠Examples:
⍠Finding shipping costs
⍠Income taxes
⍠Ordering t-shirts
5. Writing Piecewise Functions
⢠We know how to graph, now go backwards!
⢠First, find the domains (where the graph is cut)
⢠Then, find the slopes and y-intercepts.
⢠Fill in the equation for each domain.
⢠Example:
___ x + ___ , if x ______
___ x + ___ , if x ______
6. Example:
___ x + ___ , if x ______
___ x + ___ , if x ______
7. Your Turn!
___ x + ___ , if x ______
___ x + ___ , if x ______
8. Evaluating from a Graph
⢠Move left/right to the x you need, then move
up/down to find y.
⢠Example:
⢠Evaluate f(x) for the function shown when:
⢠x = -3
⢠x = -1
â˘x=2
9. Your Turn!
⢠Evaluate f(x) for the function shown
when:
â˘x = -1
â˘x = 1
â˘x = 2
â˘x = 4