2.7.2 Tutorial 

 

 

Finding the Equation of a Piecewise Function:

  1. Find the equation for both lines y=mx+b form.
  2. If there is an O, then the equation will be > or <, if there is ¥ the equation is ³ or ².
  3. The line itself is X in the equation.
  4. The finished equation will look like this: Ä(x)={x+3 if x>-2}
  5. x+1 is the equation of the ray. The slope is 1, and the y-intercept is 3 Because of the o, x cannot be -2, so x has to be greater than -2.

 

 

                                                  Ex:1

 

 

 

 

 

 

 

 

 

Solving a Step Function:

  1. Fist, draw: Ä(x):{                                             ø
  2. The first number in the bracket is y. ex: Ä(x)={1 if 0²x<1} The arrows point to y.

                                                                                ­

  1. Look at the graph: When y=1, 0²x<1. Can equal 1, because of the á, x has to be greater than or equal to 0, but still less than 1, because of the o.
  2. Following the above steps, the second equation for the next step up would be Ä(x)={2 if 1²x<2}

                                      Ex:2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  Solve this piecewise function.

 

 

 

 

 

 

 

 

 

 

 

  Solve this step function.