1. Sketch the following functions:

2. Clear identify the regions of the graphs where the functions increasing or decreasing

3. Have slopes = 0

4. Identify where the functions crosses the y-axis (x = 0) and y-axis (or y-intercept, y = 0).

5.Determine the vaues of the function at x = 5 and x = -5.
 

Function	Region(s) Increasing	Region(s) Decreasing	Zero Slope	x-intercept(s)	y-intercept	y when x = -5	y when x = 5
(a) y = | x - 2|	x > 2	x < 2	none	x = 2	y = 2	7	3
(b)	none	x < 25	none	x = 25	y = 5	+/- 5	+/- Sqrt(20)
(c)	x> 25	none	none	x = 25	none	none	none
(d)	x > 0	x < 0	x = 0	x = -3 and 3	y = -9	16	16
(e)	x < 0	x > 0	x = 0	x = -3 and 3	y = 9	-16	-16
(f)	x > 9	x < 9	x = 9	x = 9	y = 81	196	16
(g)	x > 9	x < 9	x = 9	x = 9	y = 81	196	16
(h)	None	All except x = 0	None	None	None	y = -1/15	y = 1/5
(i)	x < 0	x > 0	None	None	None	1/25	1/25
(j)	all values	none	none	none	y = 1	0.00327	306.0197
(k) y = 5x	all values	none	none	x = 0	y = 0	-25	25

(a) y = | x - 2|	(b)
(c)	(d)

(e)	(f)
(g)	(h)

(i)	(j)
(k) y = 5x	(l)