Let’s Review Functions

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Presentation transcript:

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

Increasing Decreasing Constant This is a piecewise function

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

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)

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

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

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

Relative maximum Relative minimum

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

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)