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2-5 Absolute Value Functions and Graphs

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1 2-5 Absolute Value Functions and Graphs

2

3 Vertex Maximum or minimum of the graph
For the equation, the vertex is at

4 Identify the vertex for each function
1. f(x) = | 2x – 5 | 2. f(x) = | 3x + 6 | 3. f(x) = - |x + 1 | - 2

5 Graphing absolute value functions by making a table
Find the vertex Make a table of values (at least 5!) Graph the function.

6 Find several ordered pairs for each function.
Graph and on the same coordinate plane. Determine the similarities and differences in the two graphs. Find several ordered pairs for each function. x | x – 3 | 3 1 2 4 5 x | x + 2 | –4 2 –3 1 –2 –1 3 Example 6-3a

7 Graph the points and connect them.
Answer: The domain of both graphs is all real numbers. The range of both graphs is The graphs have the same shape, but different x-intercepts. The graph of g (x) is the graph of f (x) translated left 5 units. Example 6-3b

8 Graph y = | x – 3 | + 3 X Y

9 Graph y = | 2x + 1 | X Y

10 X Y The recommended dietary allowance
for vitamin C is 2 micrograms per day. Write an absolute value function for the difference Between the number of micrograms of Vit C you ate today x and the recommended amount. X Y

11 Graph X Y

12 Graph y = | -x – 5 | X Y

13 Graph y = | -3x | X Y


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