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Gr 10 absolute value functions and graphs

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Gr 10 absolute value functions and graphs

1. 1. 2-5 Absolute Value Functions and Graphs
2. 3. Vertex <ul><li>Maximum or minimum of the graph </li></ul><ul><li>For the equation, the vertex is at </li></ul>
3. 4. Identify the vertex for each function <ul><li>1. f(x) = | 2x – 5 | </li></ul><ul><li>2. f(x) = | 3x + 6 | </li></ul><ul><li>3. f(x) = - |x + 1 | - 2 </li></ul>
4. 5. Graphing absolute value functions by making a table <ul><li>Find the vertex </li></ul><ul><li>Make a table of values (at least 5!) </li></ul><ul><li>Graph the function. </li></ul>
5. 6. Example 6-3a Find several ordered pairs for each function. Graph and on the same coordinate plane. Determine the similarities and differences in the two graphs. x | x – 3 | 0 3 1 2 2 1 3 0 4 1 5 2 x | x + 2 | – 4 2 – 3 1 – 2 0 – 1 1 0 2 1 3
6. 7. Example 6-3b Graph the points and connect them. Answer: <ul><li>The domain of both graphs is all real numbers. </li></ul><ul><li>The graphs have the same shape, but different x -intercepts. </li></ul><ul><li>The graph of g ( x ) is the graph of f ( x ) translated left 5 units. </li></ul><ul><li>The range of both graphs is </li></ul>
7. 8. Graph <ul><li>y = | x – 3 | + 3 </li></ul>X Y
8. 9. Graph <ul><li>y = | 2x + 1 | </li></ul>X Y
9. 10. <ul><li>The recommended dietary allowance </li></ul><ul><li>for vitamin C is 2 micrograms per day. </li></ul><ul><li>Write an absolute value function for the difference </li></ul><ul><li>Between the number of micrograms of Vit C you ate </li></ul><ul><li>today x and the recommended amount. </li></ul>X Y
10. 11. Graph X Y
11. 12. Graph <ul><li>y = | -x – 5 | </li></ul>X Y
12. 13. Graph <ul><li>y = | -3x | </li></ul>X Y