2-5 Absolute Value Functions and Graphs. Vertex Maximum or minimum of the graph For the equation,...

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Transcript of 2-5 Absolute Value Functions and Graphs. Vertex Maximum or minimum of the graph For the equation,...

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2-5 Absolute Value Functions and Graphs Slide 2 Slide 3 Vertex Maximum or minimum of the graph For the equation, the vertex is at Slide 4 Identify the vertex for each function 1. f(x) = | 2x 5 | 2. f(x) = | 3x + 6 | 3. f(x) = - |x + 1 | - 2 Slide 5 Graphing absolute value functions by making a table Find the vertex Make a table of values (at least 5!) Graph the function. Slide 6 Example 6-3a Graphandon the same coordinate plane. Determine the similarities and differences in the two graphs. Find several ordered pairs for each function. x| x 3 | 03 12 21 30 41 52 x| x + 2 | 42 31 20 11 02 13 Slide 7 Example 6-3b 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. Slide 8 Graph y = | x 3 | + 3 XY Slide 9 Graph y = | 2x + 1 | XY Slide 10 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. XY Slide 11 Graph XY Slide 12 y = | -x 5 | XY Slide 13 Graph y = | -3x | XY