1. Warm up 1.a. Write the explicit formula for the following sequence
-2, 3, 8, 13,…
b. Find a40
2.a. Write the recursive formula for the following sequence
2, 8, 14, 20, …
b. Find the next three terms.

2. Characteristics of Functions

3. Intercepts
x-intercept – the point at which the line intersects the x-axis at (x, 0)
y-intercept – the point at which the line intersects the y-axis at (0, y)

4. Find the x and y intercepts, then graph.
-3x + 2y = 12

5. Find the x and y intercepts, then graph.
4x - 5y = 20

6. Increasing, Decreasing, or Constant
Sweep from left to right and notice what happens to the y-values
Finger Test- as you move your finger from left to right is it going up or down?
Increasing goes up (L to R)
Decreasing falls down (L to R)
Constant is a horizontal graph

7. Continuous vs Discrete
Continuous has NO breaks
Discrete has gaps or breaks

8. Domain & Range D
Domain  I
Inputs X
X-coordinates R
Range O
Outputs Y
Y-values
The domain of a relation is the set of all inputs or x-coordinates.
 The range of a relation is the set of all the outputs or y-coordinates.

9. Notation
Set Notation
If the graph is discrete, list all of the inputs or outputs inside the squiggly brackets.
Example: D= {1,2,4,5,7}

10. Notation Algebraic Notation
Use equality and inequality symbols and variables to describe the domain and range.
Examples:
y > 5

11. Notation
Interval Notation For each continuous section of the graph, write the starting and ending point separated by a comma. Parenthesis: point is not included in Domain/ Range Brackets: point is included in Domain/ Range
Start End

12. Characteristics
Domain:
Range:
Intercepts:
Increasing or Decreasing?

13. Domain:
Range:
Intercepts:
Increasing or Decreasing?

14. Just for practice, let’s look at an example that is NOT a linear function
Domain:
Range:
Intercepts: