1 / 5

1.6B Algebraic Test for One to O ne Functions

1.6B Algebraic Test for One to O ne Functions. If f(a) = f(b) and a=b then the function is one- to- one. (like # 48-58) Example: f(x)= + 1 Is f(x) one- to- one? Example: f(x) = x² + 2 Is f(x) one -to -one?. Draw inverse feature in Calculator. Put original in y=

amethyst-reid
Download Presentation

1.6B Algebraic Test for One to O ne 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. 1.6B Algebraic Test for One to One Functions • If f(a) = f(b) and a=b then the function is one- to- one. (like # 48-58) • Example: f(x)= + 1 Is f(x) one- to- one? • Example: f(x) = x² + 2 Is f(x) one -to -one?

  2. Draw inverse feature in Calculator • Put original in y= • 2nd, PRGM, 8:DrawInv, “VARS” → Y-Vars., 1:Function, choose original equation (Y₁ etc.), enter • 2nd, “mode”, 2nd, “PRGM”, 1:ClrDraw, enter,done

  3. Examples • #59. f(x)=2x – 3 Find inverse algebraically. Use Calculator to graph f(x) and together. Describe the relationship.

  4. More Examples • #69. f(x)= (x- 2)² Restrict the domain so f(x) is one- to- one and has a true inverse function. Find the inverse of f(x) algebraically. State domain & range of .

  5. More examples • # 81-87 odd. • 81. (0) • 83. (f ○ g)(2) • 85. (g(0)) • 87. (g ○ )(2)

More Related