1 / 8

Unit 3 – Ch. 4

Unit 3 – Ch. 4. 4.1/4.2 – Operations & Composite Functions 4.3 – Reflecting Graphs (Symmetry) 4.4 – Periodic Functions 4.5 – Inverse Functions Quiz 4.1-4.3 Test Ch. 4. 4.1/4.2 Operations of Functions. Learning Objectives. Perform Operations on Functions Find a Rule & Given Domain

yank
Télécharger la présentation

Unit 3 – Ch. 4

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. Unit 3 – Ch. 4 • 4.1/4.2 – Operations & Composite Functions • 4.3 – Reflecting Graphs (Symmetry) • 4.4 – Periodic Functions • 4.5 – Inverse Functions • Quiz 4.1-4.3 • Test Ch. 4

  2. 4.1/4.2 Operations of Functions

  3. Learning Objectives • Perform Operations on Functions • Find a Rule & Given Domain • Composite Functions • Find a Rule & Give Domain

  4. Introduction to functions • Function • Pass the Vertical Line Test • NO More than one y for each x • Domain (algebraically) • Where fnct is restricted: • Square Root (vertex) • Cube Root (all reals) • Rational (all reals except…. set denominator =0) Don’t worry about range…

  5. Function operations • Why should we care? • Use function operations to find difference in cost of production and revenue generated • Function Operations(f and g are functions) • Sum (f+ g)(x) = f (x) + g(x) • Difference: (f - g)(x) = f (x) - g(x) • Product: (f × g)(x) = f (x) × g(x) • Quotient: (f/g)(x) = • If g(x) = 0 , then the quotient is undefined

  6. Function operations • Example: Find a Rule for a Function • Let 4 and . Find a rule for each of the following functions AND the domain:

  7. Composition Functions • The composite of f and g is defined by two conditions: • Substitution • Domain of Composite • x is in the domain of g • g(x) is in the domain of f • DO NOT ASSUME • only true sometimes…

  8. composition functions Example: Find Rules of Composite Functions • Let and • Find a rule for • Find the Domain for • Let and • Determine whether or not • Find the domains of both composite functions

More Related