1. Bellringer (7 minutes) Solve for x: 2x – y = 8
Describe the vertical line test (VLT).
Is the following graphic a function? Why or why not?

2. Algebra 1
September 17, 2018

3. announcements Deficiency notices are due by this Friday
If you need a make-up (less than a “C”), you can have it tomorrow before or after school
After school may be in Room 438 (math tutorial room)
A homework assignment will appear on Canvas/class website this afternoon around 3pm
Paper copies are available upon request
No school on Wednesday

4. announcements Next quiz: September 20th
I will review at the end of this class and beginning of next class if people need it
Notes are permitted
Identifying functions will be on the quiz, but not today’s new material

5. functions
Last class: we introduced functions and how to identify whether something is a function or not
Are there any questions on any of the four?
Drawings
Charts
Points
Vertical line test (VLT)
Now let’s start with function notation

6. Functions – notations There are probably two main ones to consider:
f(x)  primary and simplest one (Read: “f of x”)
𝑓 𝑥 = −&𝑥, 𝑥<0 &𝑥, 𝑥≥  This one is used when you have graphs and shows a potential split
I will admit, the second version features a bracket and doesn’t look all that friendly…but most aren’t too terrible
I will just go over the primary today
Most notations will give you parts of an equation to work with

7. Functions – notations Let’s start with the simple set up… f(x) = x + 2
All this means is that for every value of x, you will add two to get the value for y.
So, what’s the value of the function if x = 10?
f(10) = = 12
Doesn’t matter if x is positive or negative, you will add 10

8. Functions – notations Another f(x) = 5 – x
For every value of x, you will subtract the value from five.
So, what’s the value of the function if x = 10?
f(10) = 5 – 10 = – 5
Doesn’t matter if x is positive or negative

9. Functions – domain and range
Sometimes you will be asked to identify the domain or range of a function
Domain: The complete set of x values that can be used in the function
Range: The complete set of y values that can be used in the function

10. Functions – domain and range
So, let’s look at this problem: