1. Warm-Up .
4. Find the average and standard deviation of the following data set:
12, 13, 14 20, 25, 25, 32,27
5. Draw the normal for question 2
6. Use the information from question two to find the z-score when the value compared is 30

2. Piecewise Functions

3. Evaluating Piecewise Functions
Piecewise functions are functions defined by at least two equations, each of which applies to a different part of the domain
A piecewise function looks like this:
Domain restrictions
Equations

4. Steps to Evaluate Piecewise Functions
Look at the domain to see which equation to use
Plug in x-value
Solve! 

5. One equation gives the value of f(x) when x ≤ 1
And the other when x>1

6. 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:
0+2=2
f(0)=2
So:
2(4) + 1 = 9
f(4) = 9
This one fits here
So:
2(2) + 1 = 5
f(2) = 5
This one fits here

7. 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)

8. x=1 is the breaking
point of the graph.
To the left is the top
equation.
To the right is the
bottom equation.

9. Graph:
Point of Discontinuity