Warm UpSolve1. 2. 3. 4. 5.
Algebra 3Chapter 7: Powers, Roots, and RadicalsLesson 3: Power Functions and Function Operations
VOCABPower Function – an equation in the form
Composition – is when the domain of the function H is the set of all x values such that x is in the domain of g and g(x) is in the domain of f.
TODAYToday we will learn how to combine 2 or more functions using basic operations.
Directions (Operations on Functions)Addition – Combine like termsSubtraction - Combine like termsMultiplication – Distribute / FOILDivision – Long / Synthetic+- Powers don’t change* Powers addDivision Powers subtract
I DO (Basic operations)Solve and1. 2.
Solve and3. 4.
WE DO (Basic operations)Solve and1. 2. g
Solve and3. 4.
YOU DO (Basic operations)
Solve and1. 2.
Solve and3. 4.
Review
Today you learned how to combine more than one equation
HOMEWORK
Worksheet7.3B (1 – 8)7 & 8 – do division as well
Warm UpSolve and 1. 2.
Solve and3. 4.
Algebra 3Chapter 7: Powers, Roots, and RadicalsLesson 3: Power Functions and Function Operations
TODAYToday we will review long and synthetic division (combining 2 equations)
Question When can I use synthetic division?
Directions (Synthetic)THIS IS EXACTLY LIKE SYNTHETIC
SUBSTITUTIONWrite the problem in standard form
including the missing termsOnly Write down the coefficients insideFor the outside
Remember to take the opposite of the number
ANSWERYOU start with 1 power less than the
original
Directions (Long Division)
THIS IS EXACTLY LIKE LONG DIVISION WITHOUT A CALCULATOR
Write the problem in standard form including the missing terms
Look at the first term in the divisorFind how many times that goes into the
first term of the polynomialMultiply that answer times the WHOLE
divisorSubtract that from the polynomialKeep going until you can’t do anymoreRemainder is then written over the divisor
STARTING POINT Lets take a look at a basic division
problem without a calculator
I DO (Division)Divide the functions 1. 2. 3. 4.
WE DO (Division)Divide the functions 1. 2. 3. 4.
YOU DO (Division)Divide the functions 1. 2. 3. 4.
Review Today you learned………
HOMEWORK
Worksheet7.3B (9-12)
Warm UpSolve1. 2. 3. 4. 5.
Algebra 3Chapter 7: Powers, Roots, and RadicalsLesson 3: Power Functions and Function Operations
TODAYToday we will learn how to find a composite of 2 functions.
Directions (Compositions)
Work inside out Write down the inside function
This is the X of the outside function Write down the outside function (while using
what you wrote as x) Simplify
I DO (Composition)Find the composite of the given functions
1. 2. 3. 4.
WE DO (Composition)Find the composite of the given functions
1. 2. 3. 4.
YOU DO (Composition)Find the composite of the given functions
1. 2. 3. 4.
Review Today you learned………
HOMEWORK
Worksheet7.3B (13-16)
Warm UpFind the composite of the given functions
1. 2.
Algebra 3Chapter 7: Powers, Roots, and RadicalsLesson 3: Power Functions and Function Operations
TODAYToday we will learn how to find a composite of 2 functions with negative and fraction exponents.
Directions (Compositions)
Work inside out Write down the inside function
This is the X of the outside function Write down the outside function (while using
what you wrote as x) Simplify
I DO (Composition)Find the composite of the given functions
1. 2. 3. 4.
WE DO (Composition)Find the composite of the given functions
1. 2. 3. 4.
YOU DO (Composition)Find the composite of the given functions
1. 2. 3. 4.
Review Today you learned………
HOMEWORK
Worksheet7.3B (13-16)