Warm Up

Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 3: Power Functions and Function Operations

VOCAB

TODAY  Today we will learn how to combine 2 or more functions using basic operations.

Directions (Operations on Functions)  Addition – Combine like terms  Subtraction - Combine like terms  Multiplication – Distribute / FOIL  Division – Long / Synthetic  +- Powers don’t change  * Powers add  DivisionPowers subtract

I DO (Basic operations)

WE DO (Basic operations)

YOU DO (Basic operations)

Review  Today you learned how to combine more than one equation

HOMEWORK  Worksheet  7.3B (1 – 8)  7 & 8 – do division as well

Warm Up

Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 3: Power Functions and Function Operations

TODAY  Today we will review long and synthetic division (combining 2 equations)

Question  When can I use synthetic division?

Directions (Synthetic)  THIS IS EXACTLY LIKE SYNTHETIC SUBSTITUTION  Write the problem in standard form including the missing terms  Only Write down the coefficients inside  For the outside  Remember to take the opposite of the number  ANSWER  YOU 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 divisor  Find how many times that goes into the first term of the polynomial  Multiply that answer times the WHOLE divisor  Subtract that from the polynomial  Keep going until you can’t do anymore  Remainder is then written over the divisor

STARTING POINT

I DO (Division)

WE DO (Division)

YOU DO (Division)

Review  Today you learned………

HOMEWORK  Worksheet  7.3B (9-12)

Warm Up

Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 3: Power Functions and Function Operations

TODAY  Today 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)

WE DO (Composition)

YOU DO (Composition)

Review  Today you learned………

HOMEWORK  Worksheet  7.3B (13-16)

Warm Up

Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 3: Power Functions and Function Operations

TODAY  Today 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)

WE DO (Composition)

YOU DO (Composition)

Review  Today you learned………

HOMEWORK  Worksheet  7.3B (13-16)