Greetings Have your homework ready Discuss with your

Greetings ü Have your homework ready. ü Discuss with your group any problems you had difficulty with. ü Be ready to learn at the bell… when I start teaching.

Operations on Functions Sec. 4. 2 Perform operations on functions and to determine the domains of the resulting functions.

What do your remember?

What do you remember? •

Introduction Standard mathematical operations: Sum Difference Product Quotient

See pg 125 Introduction In addition to standard operations, functions have one more operation that we will study: COMPOSITION of functions.

Study the table that is on page 125.

Example 1 page 125 •

Example 4. 2 on page 127 Refer to this graph in the next 3 slides

Use the graph provided to answer: •

Use the graph provided to answer:

x f g f+g -5 -4

What do your remember? •

The composite of Functions •

Composition of functions visualized:

Composition of functions visualized:

Composite functions from graph • Refer to the graph of example 4. 2: • f(g(2))= g°f(0)=

Example 2, see page 17 Find a rule for (f°g)(x). Give the domain of the composite function.

Example 2, see page 17 Find a rule for (f°g)(x). Give the domain of the composite function. Confirm the domain by using a computer or graphing calculator to graph: y= (f°g)(x)

Homework Written Exercises Sec 4. 2 Day 1: Friday Sept 5: #1 -15 odds Day 2: Monday Sept 8: # 17 -29 odds and 33, 35