WARM UP (REVIEW)

1, if x 1( )

-x+1, if x>1

xf x

9x-9y>-36

2.7 PIECEWISE FUNCTIONS

STEP FUNCTIONS

43 ,432 ,321 ,210 ,1

)(

xifxifxifxif

xf

43,432,321,210,1

)(

xifxifxifxif

xf

GRAPH :1, 4 32, 3 2

( )3, 2 14, 1 0

if xif x

f xif xif x

0, 0 1

( ) 2, 1 2

4, 2 3

if x

f x if x

if x

0, 6 4

( ) 2, 4 2

4, 2 0

if x

f x if x

if x

1, 2

2( ) 2 1, 2

x if x

f x x if x

1, 3

( ) 2 4, 3

x if x

f x x if x

2 6y

3x – y < 7

2.8 GRAPHING ABSOLUTE VALUE FUNCTIONS

STANDARD FORM:Y = A |X - H| + K Vertex is at (h, k) & is symmetrical in the line x=h A = slope V-shaped If a>0 the graph opens up (a is positive) If a< 0 the graph opens down (a is negative) The graph is wider if |a| < 1 (fraction < 1) The graph is narrower if |a| > 1

y x 2 1 3 Vertex is at ________

This graph opens ___________

The slope is _______

y x 3 2 Vertex is at ________

This graph opens ___________

The slope is _______

TO GRAPH ABSOLUTE VALUE FUNCTIONS OF THE FORM Y = A |X - H| + K

1. Plot the vertex (h,k). 2. Use the slope to plot another point

to the RIGHT of the vertex and the LEFT of the vertex.

3. Complete the graph.

3) GRAPH Y = |X + 2| + 3

1. V = 2. Opens _____3. Slope =

4) GRAPH Y = -½|X - 1| + 1

1.V =

2. Opens _____

3.Slope =

5) GRAPH Y = 2|X - 4| - 1

1.V =

2. Opens _____

3.Slope =

6) GRAPH Y = -3|X - 4|

1.V =

2. Opens _____

3.Slope =