1 / 8

Section 2.6 The Algebra of Functions

Section 2.6 The Algebra of Functions. Combining Two Functions Algebraically 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) = f(x) / g(x) Domains & Graphs.

rosalyn-yanez
Télécharger la présentation

Section 2.6 The Algebra of 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. Section 2.6 The Algebra of Functions • Combining Two Functions Algebraically • 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) = f(x) / g(x) • Domains & Graphs 2.6

  2. Notation forSum, Difference, Product, Quotient of 2 Functions • When 2 functions are combined, they form a 3rd function, which may be able to be simplified “ f plus g of x “ 2.6

  3. Visualize the Two Functions (f + g)(x) = f(x) + g(x) (f + g)(x) = x + 4 + x2 + 1 (f + g)(x) = x2 + x + 5 check: (f + g)(2) = 22 + 2 + 5 = 11 2.6

  4. 2.6

  5. Domains and Graphs – Dietary Example from Univ. of CA Add these functions together: C(m) + P(m) + F(m) = (C + P + F)(m) 2.6

  6. Consider carefully:Domains Involving Quotients 2.6

  7. Domains of Combined Functions 2.6

  8. 2.6

More Related