1. Let’s Review Functions
Daily Questions…….
1. When is a function increasing, decreasing, & constant?
2. Where are the max & min of a function?

2. Increasing
Decreasing
Constant
This is a piecewise function

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

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

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

6. Relative Minimum & Maximum Values (direction change)
Relative Minimum: all of the lowest points
Relative Maximum: all of the highest points

7. Absolute Minimum & Maximum
Absolute Minimum: the lowest point
Absolute Maximum: the highest point

8. Relative maximum
Relative minimum

9. All reals All reals -2, -2, 1 (0, -4) none (-2, 0)max (0, -4)min
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, -2, 1
(0, -4)
none
(-2, 0)max (0, -4)min

10. All reals [-4, ∞) -2, 2 (0, -4) (0, -4) (min) (0, -4) (min) (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
[-4, ∞)
-2, 2
(0, -4)
(0, -4) (min)
(0, -4) (min)
(0, ∞)
(-∞, 0)