University:
High School
Course:
High School Mathematics
Academic year:

2021
Views:

378

Pages:

4
Author:

Teagan White

Name ________________________ Date ---- Notetaking with Vocabulary In your own words, write the meaning of each vocabulary term. domain scientific notation Core Concepts Operations on Functions Let/and g be any two functions. A new function can be defined by performing any of the four basic operations on/ and g. Operation Addition Subtraction Multiplication Division (f + g)(x) (f - g)(x) (fg)(x) = Definition = = f(x) + = 6x + 2 (f + g)(x) g(x) f(x) - g(x) (f - = 4x - 2 g)( 2 (fg)(x) = 5x(x + 2) = 5x + 10x f(x) • g(x) (/)(x) = f(x) g Y.."' i g(x) Theldom�(ns]ofthe sum, difference, product, and quotient functions consist of the .x-vaJues that� are in the domains of both/and g. )Additionally, the domain of the quotient does not include x-values for which g(x) = 0. ��'ft.\ ,Jt Notes: DI ' \!> I O'I\ Pr1t\ � � ---4 -- 2;ero� ! 1 t,Jo\-- 1lo 1 f'ht� � ltiti C, � ��-k) �-,e,.. �h,e,t-\ x-v� '""� MA� e{,c\:. o , .. A� ti'yic-t.�., � � Oo�7}'\ Cat.,_· r \ -�tt In Exercises 5-8, find (fg)(x) and _t. \'{ u-c. . ✓ (� )(x) and state the domain of each. Then evaluate fg and � for the given 2tue o(x. 5. f(x) = -x 3 , g(x) = 2¼; x = -64 7. J(x) = 0.25x V , g(x) = -4x 312 • x = 1 +·� � 1 "Ix./ lu•---,� . --'1 -, ,"J,5)!:_ / � ·- 1., ..!.- �•Lf 'I l 1,( I' -'-f --) ., I l&J x-i.; 6. f(x) = 12x, g(x) = 11x l/2 ; x = 4 Name __________________________ Date ---- WJW Notetaking with Vocabulary (continued) {r 9. The graphs of the functions x = x2 - 4x + 4 and g(x) = 4� - 5 are shown. Which graph represents the function f + g? the function f - g? xplain your reasoning. • +-5 =. 'I,7- _ l( � -- } t( -'1'/( ..,.� )<:z. - ea, ;K + '1 -8 -4 ('/.. '; q/ •., , -8 10. The variable x represents the number of pages of a textbook to be printed. The cost C to print the textbook can be modeled by the equationC(x) = 0.2.x"2 + 10. The selling price P of the textbook can be modeled by the equation a. Find (P - c)(x). x = 0.05x2 + 20. b. Explain what (P - C)(x) represents.