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GBK Precalculus Jordan Johnson

GBK Precalculus Jordan Johnson. Today’s agenda. Greetings Lesson: Composite Functions Lab Homework Clean-up. Graphing on the computer. For animations, the domain is time . Suppose we get x -values from a function x(t) , and want to graph y -values from a function f(x) .

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GBK Precalculus Jordan Johnson

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  1. GBK PrecalculusJordan Johnson

  2. Today’s agenda • Greetings • Lesson: Composite Functions • Lab • Homework • Clean-up

  3. Graphing on the computer • For animations, the domain is time. • Suppose we get x-values from a function x(t),and want to graph y-values from a function f(x). • …so we really have f(x(t)). x f time x-values y-values

  4. Going further • Could think of it as one operation: x then f time y-values x f time x-values y-values

  5. Going further • Could think of it as one operation: f ◦ x time y-values x f time x-values y-values “f composed with x”, or “f composition x”, or “f following x”, or just plain “f of x”

  6. Going further • More mundanely: dry ◦ wash dirty dishes clean dry dishes wash dry dirty dishes clean wet dishes clean dry dishes

  7. Next steps • Evaluate the composition of two functions… • algebraically • from their graphs • from tabular definitions.

  8. Homework • From Section 1-3: • Q1-Q10 (as quickly as possible) • 15, 17. • From Section 1-4: • Reading Analysis • Q1-Q10 • 1, 2, 5, 7, 9, 10, 12-15. • Due Friday, 9/17.

  9. To the Lab • …where you can work on the lab assignment, or the HW if already done.

  10. Clean-up / Reminders • Pick up all trash / items. • Push in chairs (at front and side tables). • See you tomorrow!

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