warm up. algebra 3 chapter 7: powers, roots, and radicals lesson 3: power functions and function...

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.

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.

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.

HOMEWORK


Warm UpFind the composite of the given functions

1. 2.

TODAYToday we will learn how to find a composite of 2 functions with negative and fraction exponents.