1. Domain-Range Graphing f(x) Notation Calculating Slope
Functions
Domain-Range
Graphing
f(x) Notation
Calculating Slope

2. Domain-Range
The collection of all input values is called the “Domain”.
Most likely will be the x-values.
The collection of all output values is called the “Range”.
Most likely will be the y-values.
A relation is a function if and only if each input corresponds to one output.

3. Identify the Domain & Range
Is the relation a function?

4. Identify the Domain & Range
Is the relation a function?

5. Identify the Domain & Range
Is the relation a function?

6. Graphing Using Input-Output Tables
Take each input-value and plug it in.
Plot the point.
Graph the line. y x 10 -8 -4 2 6
-10 -2 8 -6 4
2(0)+1 = 1 5 7

7. You Try One! y x 10 -8 -4 2 6
-10 -2 8 -6 4 10 4 -6

8. Try Another One! y x 10 -8 -4 2 6
-10 -2 8 -6 4 -3 1 5 9

9. f(x) Notation
Plug in.
Evaluate.

10. You Try Some!

11. Calculating Slope (2, 5) and (-1, -4) (-6, 7) and (6, 3)
Positive
Rises
(2, 5) and (-1, -4)
(-6, 7) and (6, 3)
(2, 1) and (4, 1)
(4, 3) and (4, 8)
m = 3
Negative
Falls
m = -1/3
Zero
Horizontal
m = 0
Undefined
Vertical
m is undefined

12. Parallel vs. Perpendicular
Parallel Lines have the same slope different y-intercepts.
Perpendicular lines have opposite-reciprocal slopes.

13. Tonight’s HW
2.1 #20-38Even
2.2 #20-30Even, 32-35, 41-44
Have fun 