Precalc0105to0107-pa - algebra course but linear combinations of functions will enable us to take a broader view of symmetry in Section 1.7 • We

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
(Section 1.6: Combining Functions) 1.6.1 SECTION 1.6: COMBINING FUNCTIONS LEARNING OBJECTIVES • Know how to add, subtract, multiply, and divide functions. • Be able to identify linear combinations of functions. • Know how to construct and decompose composite functions. • Find the domains of the functions that result from these operations. • Be able to model functions using constraint equations and composite functions. PART A: DISCUSSION • In Section 1.5, we constructed functions from pieces of functions on disjoint (non-overlapping) subdomains. • In this section, we will combine functions by adding , subtracting , multiplying , and dividing them over basically the same domain. • Linear combinations are usually not formally introduced to students until a linear
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: algebra course, but linear combinations of functions will enable us to take a broader view of symmetry in Section 1.7. • We will also combine functions by composing them. This corresponds to the successive application of functions. We did this when we transformed functions and graphs in Section 1.4. • Calculus theorems , including linearity theorems and the Chain Rule for differentiating composite functions, will use the notation and ideas of this section. Composite functions are also related to the u-substitution technique of integration. • In applied calculus problems such as related rates and optimization problems, we will need to devise functions, compose them, and combine them with constraint equations ....
View Full Document

This document was uploaded on 12/29/2011.

Ask a homework question - tutors are online