1. Function & Vertical Line Test
Unit 8

2. Both are functions What’s a Function?
For a relation to be a function, each x-value has to go to one, and only one, y-value.
Both are functions

3. These are NOT functions
What’s NOT a function?
Look for duplicate x-values, if an x-value goes to say 2 & 5, then the equation is NOT a function.
These are NOT functions

4. Let’s Practice
Yes a Function

5. Let’s Practice

6. NOT a function
NOT a function
The Vertical Line Test If you can draw a vertical line through two points, then it’s NOT a function

7. Let’s practice without a graph
Is 2𝑦+3𝑥=6 a function?
Solve for y 𝑦= −3 2 𝑥+6
Graph
Y-intercept 6
Slope −3 2
Linear – Passes the Vertical Line Test
Yes a function!

8. Let’s practice another one
Is 𝑦 2 +3𝑥=6 a function?
Solve for y 𝑦=± −3𝑥+6
The ± means there will be two answers for every input, or value of x.
NOT a function!

9. Let’s Take Notes in your Module S. 56 Example 6 Let’s Practice S
Let’s Take Notes in your Module S.56 Example 6 Let’s Practice S.59 #1 a-i all Practice Input/Output S.65 #1 a-r all