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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Graphing Functions

Example

Graph the function: f(x) = 2|x| - 4

Solution

Step 1 Make a table of ordered pairs.

Weâ€™ll let x = -6, -3, 0, 3, and 6.

 x f(x) = 2|x| - 4 (x, y) -6 3 0 36 f(-6) = 2|-6| - 4 = 2 Â· 6 - 4 = 12 - 4 = 8 f(3) = 2|3| - 4 = 2 Â· 3 - 4 = 6 - 4 = 2 f(0) = 2|0| - 4 = 2 Â· 0 - 4 = 0 - 4 = -4 f(3) = 2|3| - 4 = 2 Â· 3 - 4 = 6 - 4 = 2 f(6) = 2|3| - 4 = 2 Â· 6 - 4 = 12 - 4 = 8 (-6, 10)(-3, 2) (0, -4) (3, 2)(6, 8)

Step 2 Plot the ordered pairs.

Step 3 Connect the plotted points.

Note:

f(x) = 2|x| - 4 is called an absolute value function.

The graph of an absolute value function consists of two lines that form a vee, such as or