Warm – up #61. Determine two functions f and g such that is in place of x Check:

Homework LogFri

11/6

Lesson 3 – 4

Learning Objective: To write equations in standard form & graph piecewise functions

Hw: #307 Pg. 192 #9 – 39 odd

11/6/15 Lesson 3 – 4 Linear FunctionsAdvanced Math/Trig

Learning Objective

To write equations in standard form

To graph piecewise functions

Write an equation in standard form

1. y-intercept: 3 and x-intercept: –3

(0, 3) & (–3, 0)

y – 0 = 1(x – (–3))

y = x + 3

x – y = –3

Or you already know the slope and y-intercept

y= mx + b

y = 1x + 3

x – y = –3 23

Parallel & Perpendicular Lines

Parallel Lines have the SAME slope

Perpendicular Lines have OPPOSITE RECIPROCAL slopes (flip fraction & change sign)

Write a Linear Equation

2. Write an equation in Point-Slope Form of the line through (–7, 2) and perpendicular to –2x + 3y = 7Find slope of –2x + 3y = 7 Perpendicular slope = 23

Or get into slope-intercept form

–2x + 3y = 7

3y = 2x + 7

y =

Write a Linear Equation

3. Write an equation in Slope-Intercept Form of the line with y-intercept of 5 and parallel to 9x – 7 = 3y

Parallel slope = 3

y–intercept = 5

y = 3x + 523

Get into slope-intercept form

9x – 7 = 3y

y = 3x –

Piecewise Function (Broken Line)

4. Graph Close Circle @ x = 2

Open Circle @ x = 2

, ,

x y x y

2

1

0

3

2

1

2

3

4

1

0.5

0

Piecewise Function5. Graph Open Circle @ x = 1

Closed Circle @ x = 1

, ,

x y x y

1

0

–1

–1

2

5

1

2

3

–1

–1

–1

Piecewise Function6. Graph Closed Circle @ x = 3

Open Circle @ x = 3

, ,

x y x y

3

2

1

–2

0

2

3

4

5

–1

–2

–3

Piecewise Function7. Graph Open Circle @ x = –1

Closed Circle @ x = –1 , ,

x y x y

–1

–2

–3

1

–2

–5

–1

0

1

2

1

0

Ticket Out the Door

Graph

Explain how you graphed the two pieces

Homework

#307 Pg. 192 #9 – 39 odd