html5-img
1 / 12

Algebra II Piecewise Functions

Algebra II Piecewise Functions . Edited by Mrs. Harlow. 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.

andrew
Download Presentation

Algebra II Piecewise Functions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Algebra IIPiecewise Functions Edited by Mrs. Harlow

  2. 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.

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

  4. Evaluate f(x) when x=0, x=2, x=4 • First you have to figure out which equation to use • You NEVER use both X=4 X=2 X=0 This one fits into the top equation So: 2(4) + 1 = 9 f(4) = 9 So: 0+2=2 f(0)=2 This one fits here So: 2(2) + 1 = 5 f(2) = 5 This one fits here

  5. 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)

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

  7. Graph:

  8. Step Functions

  9. Graph :

  10. Assignment

More Related