1. Function Notation and Parent Functions
Objective: Students will be able to write equation in function notation and interpret how to evaluate them. Students will be able to identify the 5 main parent functions.

2. Function Notation
Writing an equation without using the y vale f(x) instead of y This is read as f of x, this notation does not mean multiplication They really mean the same thing, but it is a better way to show a relationship between numbers h(t) for example could be a problem the has the height (h) of an object in terms of the time (t) it is in the air, the individual variables tell you something It also allows you to write multiple equations without them all equal to y

3. Evaluating a Function
f(x)=2x+3 f(3)=2(3)+3 f(3)=9 Independent value is 3 Dependent value is 9 (3,9) The difference is that they tell us what to sub in for x right in the function instead of stating solve the equation when x=3

4. Parent Functions
5 Main functions we will discuss in this class and can be the basis for other classes to follow
You should know the name, basic function and graph
Linear
Quadratic
Cubic
Square Root
Absolute value

5. Linear What would be Domain and Range?
All real numbers for D and R since lines never end
How would this look in a table?
Adding the same value to the dependent variable as independent increases by 1

6. Quadratic -3 9 -2 4 -1 1 2 3 Graph is called a parabola
What is D and R
D all real numbers
R could have a low or high point and then go on forever in one direction -3 9 -2 4 -1 1 2 3
What it might look like in a table?
The second pattern is constant

7. Cubic -3 -27 -2 -8 -1 1 2 8 3 27 D All Real numbers What is D and R
R All Real numbers
What is D and R -3
-27 -2 -8 -1 1 2 8 3 27
What it might look like in a table?
Third pattern would have a constant number

8. Square Root 1 4 2 9 3 16 Has a definite starting point What is D and R
D and R go on for ever from the starting point
What is D and R 1 4 2 9 3 16

9. Absolute Value
Very similar to quadratic, sides are linear not curved
D all Real numbers
R from vertex on
What is D and R -3 3 -2 2 -1 1
What it might look like in a table?
All positive answers

10. Homework
Pg do not switch to y1 and y2, keep as function notation and state answer 2, 6