Multiple Piecewise Functions

f(13)=

What is a piecewise function

• It only one function

• It multiple functions with outputs

• It multiple functions without the outputs

• It only two functions with outputs.

How much does he earn for a 70 hour week?

• $1020

• $1140

• $840

• He works for free!

f(x)={x^2 x<0 f(-4)

{x^2+5 x>0 f(5)

f(3)

• 14

• f(-4)

• 30

• f(5)

• 16

• f(3)

f(3) f(-3)

x<0 = x^2+4

x>0 = x+5

Solve Both?

• -8,13

• 8,-13

• -8,-13

• 8,13

A function define by multiple sub-functions, where each sub-function applies to a certain interval of main function's domain.

• constant function

• identity function

• absolute value function

• piecewise function

(check all that apply)

• Graph could have a Break

• Graph could have a Jump

• Graph could have a Vertical Asymptote

• Graph could be Continuous