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Warm up

Warm up. Graph f(x) = 2|x -3|-1. Lesson Piecewise Functions. Objective: To be able to graph piecewise functions. Up to now, we’ve been looking at functions represented by a single equation.

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Warm up

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Presentation Transcript

  1. Warm up • Graph f(x) = 2|x -3|-1

  2. Lesson Piecewise Functions Objective: To be able to graph piecewise functions.

  3. Up to now, we’ve been looking at functions represented by a single equation. • In real life, however, functions are represented by a combination of equations, each corresponding to a part of the domain. • These are called piecewise functions.

  4. Up to now, we’ve been looking at functions represented by a single equation. • In real life, however, functions are represented by a combination of equations, each corresponding to a part of the domain. • These are called piecewise functions.

  5. One equation gives the value of f(x) when x ≤ 1 • And the other when x>1

  6. Graph: • For all x’s < 1, use the top graph (to the left of 1) • For all x’s≥ 1, use the bottom graph (to the • right of 1)

  7. x=1 is the breaking point of the graph. To the left is the top equation. To the right is the bottom equation.

  8. Graph

  9. Step Functions

  10. Evaluating a Piecewise Function

  11. Solution part a

  12. Solution part a

  13. Solution part c

  14. Practice Exercise

  15. Answer

  16. Graphing a piecewise function on a calculator http://mathbits.com/MathBits/TIsection/Precalculus/piecewise.htm

  17. Sources blogs.harrisonhigh.org/dennis_attaway/2.5---piecewise-functions.ppt http://mathbits.com/MathBits/TIsection/Precalculus/piecewise.htm

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