The document discusses absolute value functions, including evaluating f(x)=|x-5| at x=2 and x=-3. It shows the graph of y=|x| and explains how changing the coefficient a affects the graph, such as making it open up or down if a>0 or a<0, and narrower or wider if |a|>1 or |a|<1. It then graphs the functions y=2|x|, y=-4|x|, and y=-1|x| to demonstrate these effects.

1. 4.6 abs value functions.notebook September 27, 2012
Evaluate the function when x = 2 and x = ­3.
f(x) = |x ­ 5|
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2. 4.6 abs value functions.notebook September 27, 2012
y = |x|
(­2, 2) (2, 2)
(0, 0)
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3. 4.6 abs value functions.notebook September 27, 2012
y = a|x|
If a > 0, the graph opens up.
If a < 0, the graph opens down.
If |a| > 1, the graph will be narrower.
If |a| < 1, the graph will be wider.
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4. 4.6 abs value functions.notebook September 27, 2012
Graph y = 2|x|
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5. 4.6 abs value functions.notebook September 27, 2012
Graph y = ­4|x|
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6. 4.6 abs value functions.notebook September 27, 2012
Graph y = ­1|x|
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