1. Domain The set of all possible input values. Independent Variable X
Notation: (-∞<x<∞)
Or (-8≤x≤9)
Interval Notation (-∞,∞)
Or [-8,9]

2. Domain

3. Range The set of all possible output values. dependent Variable
f(x) (also known as y)
Notation: (-∞<f(x)<∞)
Or (-8≤f(x)≤9)
Interval Notation (-∞,∞)
Or [-8,9]

4. Range

5. Extrema Extreme values for f(x) Minimum-floor of the graph
Maximum-ceiling of the graph
Not many graphs of functions will have both
Some functions will have neither

6. Extrema

7. Interval of Increase/Decrease
Describes the graph as you move left to right.
Use same notation as Domain/Range
Some functions will have multiple intervals-these have to be described separately

8. Interval of Increase/Decrease

9. Zeros Values of x that make f(x)=0
Can be determined algebraically (by solving)
Can be determined graphically (by observation)
Also known as roots, solutions, or x-intercepts

10. Zeros

11. Intercepts Places where the function crosses an axis.
Y-intercepts occur when x=0.
X-intercepts-see previous slide.
Not every function will have them.
Some functions will cross the x-axis, but not the y-axis.
Some functions will cross the y-axis, but not the x-axis.

12. Intercepts

13. End Behavior
What happens to f(x) as x goes to infinity in either direction.
Two parts.
Notation: As x-∞, f(x) something, and As x+∞, f(x) something.
What the somethings are has to be determined from observation.

14. End Behavior

15. End Behavior