W ARM UP ( REVIEW ). 9x-9y>-36 2.7 P IECEWISE F UNCTIONS.

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Presentation transcript:

W ARM UP ( REVIEW )

9x-9y>-36

2.7 P IECEWISE F UNCTIONS

S TEP F UNCTIONS

G RAPH :

3x – y < 7

2.8 G RAPHING A BSOLUTE V ALUE F UNCTIONS

S TANDARD 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

Vertex is at ________ This graph opens ___________ The slope is _______

Vertex is at ________ This graph opens ___________ The slope is _______

T O GRAPH A BSOLUTE VALUE F UNCTIONS 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) G RAPH Y = | X + 2| V = 2. Opens _____ 3. Slope =

4) G RAPH Y = -½| X - 1| V = 2. Opens _____ 3.Slope =

5) G RAPH Y = 2| X - 4| V = 2. Opens _____ 3.Slope =

6) G RAPH Y = -3| X - 4| 1.V = 2. Opens _____ 3.Slope =