Combinations of Functions Pages in Text Any Relevant Graphics or Videos.

Slides:



Advertisements
Similar presentations
Operations with Functions Objective: Perform operations with functions and find the composition of two functions.
Advertisements

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”
Chapter 3: Functions and Graphs 3.5: Operations on Functions
Rates of Change Lesson 3.3. Rate of Change Consider a table of ordered pairs (time, height) 2 TH
Introduction to Logarithmic Functions
Prerequisite Skills VOCABULARY CHECK ANSWER factors; product ANSWER difference 2. You subtract to find the ? of two numbers. Copy and complete using a.
Prerequisite Skills VOCABULARY CHECK 1. The domain of the function is ?. 2. The range of the function is ?. 3. The inverse of the function is ?. ANSWER.
Warm Up Find a triple if r = 10 and s = 2.
Graph 8 a. Graph b. Domain _________ c. Range __________
Lesson 1.2.2: Multiplying Polynomials Pages in Text Any Relevant Graphics or Videos.
Lesson Rational and Irrational Numbers and Their Properties
Title of Lesson: Introduction to Functions Section: 1.2Pages:
1.4 FUNCTIONS!!! CALCULUS 9/10/14 -9/11/14. WARM-UP  Write a general equation to represent the total cost, C, in a business problem. How is it different.
Lines in the Plane Section 1.1. By the end of this lesson, I will be able to answer the following questions… 1. How do I find the slope and equation of.
Algebraic limits 1.1.
Combinations of Functions
Functions Domain & Range Evaluate with Function Notation.
Chapter 2.7 Function Operations and Composition. Arithmetic Operations on Functions As mentioned near the end of Section 2.3, economists frequently use.
Lesson 8.2 Apply Exponent Properties Involving Quotients After today’s lesson, you should be able to use properties of exponents involving quotients to.
Derivatives of Products and Quotients Lesson 4.2.
Section 1.4. Combinations of Functions Sum: combine like terms Difference: distribute the negative to the second function and combine like terms Product:
Lesson – Adding and Subtracting Polynomials
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)
Chapter 4: Exponential and Logarithmic Functions Section 4.1 Composite Functions Objectives: 1) Notation of Composite Functions 2) Form a Composite Function.
Section 5.1 Composite Functions. Suppose that an oil tanker is leaking oil and we want to be able to determine the area o the circular oil patch around.
1.Take out last night’s homework assignment for me to come by and grade. Take out your “Opener” hand out. 2.You will have about 10 minutes to work out.
Lesson 4-2 Operations on Functions. We can do some basic operations on functions.
Use implicit differentiation
Section 4.7 Inverse Trigonometric Functions Pg
Chapter 3: Functions and Graphs 3-7: Rates of Change.
Prerequisite Skills VOCABULARY CHECK Copy and complete the statement. 2. A(n) uses division to compare two quantities. ? ? The set of inputs of a function.
Lesson 2.1.2: Interpreting Various Forms of Quadratic Functions Pages in Text Any Relevant Graphics or Videos.
Title of Lesson: Introduction to Functions Section 1.2 Pages in Text Any Relevant Graphics or Videos.
Title of Lesson: Quadratics Pages in Text Any Relevant Graphics or Videos.
The Natural Log Function: Integration Lesson 5.7.
Section 6.1 Composite Functions. Form a Composite Function.
3.3 Day 2 Condensing Logarithmic Expressions The Change of Base Property Pg. 408 # even, even.
Review of 1.4 (Graphing) Compare the graph with.
Prerequisite Skills Vocabulary Check Copy and complete using a review term from the list below. ANSWER base 1. In the expression 2 6, 2 is called the.
Lesson 3-2 Functions and Function Notation Objective: To learn about functions, domains and ranges. To use function notation to represent functions.
Title of Lesson: Graphs of Functions Section 1.3 Pages in Text Any Relevant Graphics or Videos.
1.8 Combinations of Functions: Composite Functions
Inverse Functions Pages in Text Any Relevant Graphics or Videos.
Then/Now You evaluated functions. (Lesson 1-1) Perform operations with functions. Find compositions of functions.
Shifting a Function’s Graph
Combinations of Functions: Composite Functions
3.5 Operations on Functions
Warm Up      .
Algebra 1 Notes: Lesson 1-6: Commutative and Associative Properties
Prerequisite Skills VOCABULARY CHECK 1
Section 3.4 – Combinations of Functions
Increasing and Decreasing Functions
Rates of Change Lesson 3.3.
5-Minute Check Lesson 1-2A
5.1 Combining Functions Perform arithmetic operations on functions
Visualization of Data Lesson 1.2.
Shifting a Function’s Graph
Splash Screen.
Does graph represent a function? State the domain & range.
Combinations of Functions
Stand Quietly.
2-6: Combinations of Functions
“Day F” January 6, :51 - 8:51 Exploratory 8:53 - 9:53
“Day C” January 9, :01 - 9:01 Math 9: :03 Science
Lesson 12–3 Objectives Be able to find the terms of an ARITHMETIC sequence Be able to find the sums of arithmetic series.
Evaluating Limits Analytically
Combinations of Functions
2-6: Combinations of Functions
The Natural Log Function: Integration
Presentation transcript:

Combinations of Functions Pages in Text Any Relevant Graphics or Videos

By the end of this lesson, I will be able to answer the following questions… 1. How do I perform arithmetic combinations of functions and how are they are represented graphically? 2. How do I build composite functions and determine their domain? 3. How do I apply these skills to

Vocabulary 1. Sum: 2. Difference: 3. Product: 4. Quotient: 5. Composite:

Prerequisite Skills with Practice Calculator exercise introducing the storage button and the variable button.

Given the following functions, perform the indicated operation.

Composition of functions: Plugging functions into other functions. Given the functions on the the left, find and Then evaluate the functions at 1,2 & 3 your graphing calculator.

Before we start the next part…. More domain practice.

Domains and composite functions

A stone is thrown into a pond. A circular ripple is spreading over the pond in such a way that the radius is increasing at the rate of 5.3 feet per second. Find a function, r(t), for the radius in terms of “t”. Find a Function, A(r), for the area of the ripple in terms of “r”. Find

Assignment: Pg. 58 1,3 (5-12) all (13-25) odd (27-30) all (35-48) all 77,78,80 DIVE IN!