1. Let’s Review Functions
Daily Questions…….
1. What is interval notation?
2. What is the domain & range of a function?
3. When is a function increasing, decreasing, & constant?
4. Where are the max & min of a function?

2. How do we write in interval notation?
x < 2….
when you want include use a bracket [
when you want to exclude use a parenthesis (
Let’s draw a number line first….

3. Draw a number line first….
Let’s do another type….
Draw a number line first….

4. Domain and Range Remember that domain is all the x-values (the input).
Remember that range is all the y-values (the output).

5. What is the domain of f(x)?
Ex. 1
(2,4)
(-1,-5)
(4,0)
y = f(x)
Domain

6. What is the range of f(x)?
(2,4)
(-1,-5)
(4,0)
y = f(x)
Range

7. Determine the domain and range….

8. Increasing
Decreasing
Constant
This is a piecewise function

9. Increasing and decreasing are stated in terms of domain
Ex. 4b
(-, -1)
(-1, 1)
(1, )
increasing
decreasing
increasing
(-1,2)
(1,-2)

10. Increasing and decreasing are stated in terms of domain
Ex. 4c
Increasing and decreasing are stated in terms of domain
(-, 0)
(0, 2)
(2, )
constant
increasing
decreasing
(0, 1)
(2, 1)

11. Determine the intervals over which the function is increasing and decreasing…

12. Relative Minimum & Maximum Values (direction change)
Relative minimum: lowest point in its relative area.
Relative maximum: highest point in its relative area.

13. Relative maximum
Relative minimum

14. All reals All reals (-2, 0) (1, 0) (0, -4) none (-2, 0) (-4, 0)
Find the following
Domain:
Range:
3. Zeros:
4. y-intercepts:
5. Absolute Max/Min:
6. Relative Max/Min:
7. Increasing:
8. Decreasing:
All reals
All reals
(-2, 0) (1, 0)
(0, -4)
none
(-2, 0) (-4, 0)