Section 3.4 – Combinations of Functions

Slides:



Advertisements
Similar presentations
Combinations of Functions
Advertisements

Difference, Product and Quotient Functions
Combinations of Functions
1.8 Combinations of Functions: Composite Functions The composition of the functions f and g is “f composed by g of x equals f of g of x”
Partitioning and Divide-and-Conquer Strategies Data partitioning (or Domain decomposition) Functional decomposition.
Basic Functions and Their Graphs
Warm- UP F(x) = x + 2, g(x) = -x Add the two functions 2.Subtract the two functions 3.Multiply the two functions.
Deviation = The sum of the variables on each side of the mean will add up to 0 X
Section 2.4 – The Chain Rule. Example 1 If and, find. COMPOSITION OF FUNCTIONS.
Domain and Range. Domain The domain is the set of all x values that work in the function To find the domain: – What kind of numbers can I plug in for.
 Simplify the following. Section Sum: 2. Difference: 3. Product: 4. Quotient: 5. Composition:
Algebra 2 Section 2.6 Day 1. Example #1: y = -|x+2|-4 Vertex: Domain: Range: * What shift do you see in this graph from the parent graph?
Graph 8 a. Graph b. Domain _________ c. Range __________
Continuity Section 2.3a.
Combinations of Functions
Section 1.4. Combinations of Functions Sum: combine like terms Difference: distribute the negative to the second function and combine like terms Product:
Translations and Combinations Algebra 5/Trigonometry.
Chapter 1 Functions and Graphs Copyright © 2014, 2010, 2007 Pearson Education, Inc Combinations of Functions; Composite Functions.
0-6: Operations on and Composition of Functions
Operations on Functions Lesson 3.5. Sums and Differences of Functions If f(x) = 3x + 7 and g(x) = x 2 – 5 then, h(x) = f(x) + g(x) = 3x (x 2 – 5)
COMBINING FUNCTIONS. SOME FUNCTION RULES : SUM DIFFERENCE PRODUCT QUOTIENT COMBINING FUNCTIONS.
OPERATIONS ON FUNCTIONS. Definition. Sum, Difference, Product, Quotient and Composite Functions Let f and g be functions of the variable x. 1. The sum.
Combining functions: Revenue, Cost, and Profit The revenue, cost, and profit for a product, each in terms of dollars for sales of x units, are given below:
Chapter 2 Functions and Graphs Copyright © 2014, 2010, 2007 Pearson Education, Inc Combinations of Functions; Composite Functions.
Review of 1.4 (Graphing) Compare the graph with.
Combinations of Functions Pages in Text Any Relevant Graphics or Videos.
Operations of Functions Given two functions  and g, then for all values of x for which both  (x) and g (x) are defined, the functions  + g,
1.8 Combinations of Functions: Composite Functions
College Algebra Chapter 2 Functions and Graphs Section 2.8 Algebra of Functions and Function Composition.
HPC 2.6 – Operations on Functions; Composite Functions Learning Targets: -Form the sum, difference, product, and quotient of two functions. -Form the composite.
Chapter 1 Functions and Their Graphs. Copyright © Houghton Mifflin Company. All rights reserved.1 | 2 Section 1.1, Slope of a Line.
Basic derivation rules We will generally have to confront not only the functions presented above, but also combinations of these : multiples, sums, products,
Combinations of Functions
Combinations of Functions: Composite Functions
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Digital Lesson Algebra of Functions.
Adding, Subtracting, and Multiplying Radical Expressions
Section 3.2 – Domain & Range
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Section 2.6 The Algebra of Functions
Sum, Difference, Product, Quotient, Composition and Inverse
Find (f + g)(x), (f – g)(x), (f · g)(x), and
5.1 Combining Functions Perform arithmetic operations on functions
Adding, Subtracting, and Multiplying Radical Expressions
פחת ורווח הון סוגיות מיוחדות תהילה ששון עו"ד (רו"ח) ספטמבר 2015
Combinations of Functions; Composite Functions
Combinations of Functions:
Graphs of Composite Trigonometric Functions
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Chapter 7 Functions and Graphs.
2-6: Combinations of Functions
Combinations of Functions
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Bellringer August 27th Write a function whose graph is
The Chain Rule Section 3.4.
Chapter 3 Graphs and Functions.
MATH 1310 Section 3.6.
Sullivan Algebra and Trigonometry: Section 3.5
Warm Up Determine the domain of the function.
1.5 Combination of Functions
Composition of Functions
MATH 1310 Section 3.6.
Chapter 3 Graphs and Functions.
More Properties of Logarithms
Combinations of Functions
Use Distributive Property 4(x + 5) -3(7-2x) + 2x (-6x+8)5
The Chain Rule Section 2.4.
2-6: Combinations of Functions
Adding, Subtracting, and Multiplying Radical Expressions
Line Graphs.
Presentation transcript:

Section 3.4 – Combinations of Functions

Sum, Difference, Product & Quotient

Combinations of Functions Find the indicated function.

Sum, Difference, Product & Quotient  

Domains of Combinations of Functions  

Domains of Combinations of Functions     Dom f: Dom g:

Domains of Combinations of Functions   Dom f: Dom g:  

Combinations of Functions - Graphs Dom F: Dom G:  

Composition of Functions  

Composition of Functions  

Composition of Functions

Composition of Functions

Decomposition of Functions  

Decomposition of Functions