5-Minute Check Lesson 1-2A

Slides:

Advertisements

Similar presentations

2.3 Combinations of Functions Introductory MATHEMATICAL ANALYSIS For Business, Economics, and the Life and Social Sciences (12 th Edition) Copyright ©

Advertisements

Chapter 3: Functions and Graphs 3.5: Operations on Functions

Warm- UP F(x) = x + 2, g(x) = -x Add the two functions 2.Subtract the two functions 3.Multiply the two functions.

1 of 24 Pre-Cal Chapter 1 Sections 5 & 6 SAT/ACT Warm - up.

 Simplify the following. Section Sum: 2. Difference: 3. Product: 4. Quotient: 5. Composition:

Domain Symmetry Function Operations Misc.Inverses.

FUNCTIONS : Domain values When combining functions using the composite rules, it is necessary to check the domain for values that could be restricted.

Unit 6 GA2 Test Review. Find the indicated real n th root ( s ) of a. a. n = 3, a = –216 b. n = 4, a = 81 SOLUTION b. Because n = 4 is even and a = 81.

Rational Exponents and Radical Functions

Do Now Determine the open intervals over which the following function is increasing, decreasing, or constant. F(x) = | x + 1| + | x – 1| Determine whether.

Chapter 7 7.6: Function Operations. Function Operations.

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 6.1 Composite 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)

Math on the Mind. Composition of Functions Unit 3 Lesson 7.

Warmup Alg 31 Jan Agenda Don't forget about resources on mrwaddell.net Section 6.4: Inverses of functions Using “Composition” to prove inverse Find.

Lesson 4-2 Operations on Functions. We can do some basic operations on functions.

7.5 Inverses of Functions 7.5 Inverses of Functions Objectives: Find the inverse of a relation or function Determine whether the inverse of a function.

Graphing Log Functions Pre-Calculus. Graphing Logarithms Objectives:  Make connections between log functions and exponential functions  Construct a.

Ch 9 – Properties and Attributes of Functions 9.4 – Operations with Functions.

Function Composition Given f(x) = 2x + 2 and g(x) = 2, find f ºg(x). f ºg(x)=f(g(x)Start on the inside. f(g(x)) g(x) = 2, so replace it. f(g(x)) = f(2)

Chapter 3: Functions and Graphs 3.6: Inverse Functions Essential Question: How do we algebraically determine the inverse of a function.

Composite and Inverse Functions Review and additional information on sections 1.8 and 1.9.

Inverse functions: if f is one-to-one function with domain X and range Y and g is function with domain Y and range X then g is the inverse function of.

Section 2.7 Combining Functions Objectives: To add, subtract, multiply and divide functions. Composition of functions.

Ch. 7 Day 6 Book Section 7.6 Function Operations.

Combinations of Functions: Composite Functions

Operations on Functions Day 1 – Add, Subtract, Multiply and Divide

LESSON 1-2 COMPOSITION OF FUNCTIONS

Chapter 1: Lesson 1.9 Inverse Functions

Finding the Inverse of a Function Algebraically

Prerequisite Skills VOCABULARY CHECK 1

3.6-2 Composing, Decomposing Functions

MATH 1310 Test 3 Review 10 Multiple Choice (worth 60 points)

Warmup Let f(x) = x – 3 and g(x) = x2. What is (f ○ g)(1)?

5-Minute Check Lesson 3-4.

1-1 RELATIONS & FUNCTIONS

5.1 Combining Functions Perform arithmetic operations on functions

Section 5.1 Composite Functions.

Combinations of Functions; Composite Functions

Activity 2.8 Study Time.

Function Composition Section 8-7.

2-6: Combinations of Functions

2.6 Operations on Functions

Combinations of Functions

To find the inverse of a function

1.2 Analyzing Graphs of Functions and Relations

Operations with Functions

MATH 1310 Section 3.6.

3.5 Operations on Functions

To find the inverse of a function

1.5 Combination of Functions

Functions Collection: notation, inverse, composite

Ch 8.8: Inverse of Functions and Relations

Function Composition Section 8-7.

Composition of Functions

MATH 1310 Section 3.6.

Function Composition.

Look at your quiz You have 10 minutes to work on your quiz again

Warm Up Determine the domain of f(g(x)). f(x) = g(x) =

Section 2 – Composition of Functions

Section 6.1 Composite Functions.

Composite Function: Combining a function within another function.

2-6: Combinations of Functions

f(x) g(x) x x (-8,5) (8,4) (8,3) (3,0) (-4,-1) (-7,-1) (3,-2) (0,-3)

3.6-1 Combining Functions.

Operations on Functions

Function Composition R. Yates.

Lesson 33 – Inequalities with Radical Functions

New function graphs from old ones: Using Transformations

Presentation transcript:

5-Minute Check Lesson 1-2A

1-2 Composition of Functions Function Operations Composition of Functions Domains of Composite Functions

Composition of Functions Essential Questions Lesson 1-2 Composition of Functions Essential Questions What are the 5 ways you can combine 2 functions? How do we solve a composite function? Vocabulary Composition Composite Iterations Seed Value

c. (fg)(2) d. (f+g)(0)

(f o g)(2)

Inverse Functions: Two functions f and g are inverse functions if and only if [f o g] (x) = [g o f] (x) = x Given f(x) = x/3 +2, find the inverse of f(x), and show that the two functions are inverse functions.

Domains of Composite Functions Find the domain of (f o g)(x) if f(x) = g(x) =

Assignment: In book: p17: 11-29 odd, 32