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# Function Families

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### Function Families

1. 1. Function Families
2. 2. 4 families <ul><li>Linear </li></ul><ul><li>Quadratic </li></ul><ul><li>Exponential </li></ul><ul><li>Absolute Value </li></ul>
3. 3. Linear – Line y =a x +b
4. 4. Quadratic – parabola y =a x 2 +b x +c
5. 5. Exponential – Slide y =a ∙ b x
6. 6. Absolute Value – V y =a │ x +b │ +c
7. 7. Model & Equation? <ul><li>Plot the points using Stat Plot </li></ul><ul><li>Identify the model </li></ul>
8. 8. Model & Equation? <ul><li>Stat>Calc> </li></ul><ul><ul><li>4 Linear </li></ul></ul><ul><ul><li>5 Quadratic </li></ul></ul><ul><ul><li>0 Exponential </li></ul></ul>
9. 9. Model & Equation? <ul><li>Put equation in Y= to check with points </li></ul><ul><li>No Absolute Value </li></ul>
10. 10. Model & Equation? <ul><li>(-2, ¼) (–1, ½) (0, 1) (1, 2) (2,4) </li></ul><ul><li>Exponential </li></ul><ul><li>y = 2 x </li></ul>
11. 11. Model & Equation? <ul><li>(-2, 3) (–1, 3/2) (0, 1) (1, 3/2) (2,3) </li></ul><ul><li>Quadratic </li></ul><ul><li>y = ½ x 2 + 1 </li></ul>
12. 12. Model & Equation? <ul><li>(-2, -3) (–1, -1) (0, 1) (1, 3) (2, 5) </li></ul><ul><li>Linear </li></ul><ul><li>y = 2 x + 1 </li></ul>
13. 13. Review <ul><li>What are the names and shapes of the four function families? </li></ul>