Warm – up #51. Find & domain

= = x

Homework LogThurs

11/5

Lesson 3 – 3

Learning Objective: To find composite functions

Hw: #306 Pg. 186 #46 – 64 even, Pg.192 #1 – 7 odd

11/3/15 Lesson 3 – 3 Algebra Functions Day 2

Advanced Math/Trig

Learning Objective

To find composite functions

Composite Functions1. Find & domain

= = x 0 x )1

= = = D: x – 1 0 x 1x [1, )

Find and & domain2. = g = D: x 0 x –2x [–2, )

= = = = D: 0x (, )

Find and & domain3. = g = = x – 1 + 1 = xD: x – 1 0 x 1x [1, )

= = 1 = 1 (x) = xD: x 0x (, )

= = =

Find & domain4.

Composite Functions5. Determine two functions f and g such that They’re nesting. What’s inside? x + 3 is inside Check:

Composite Functions6. Determine two functions f and g such that They’re nesting. What’s inside? is inside Check:

Composite Functions7. Determine two functions f and g such that is in place of x Check:

11/3/15 Lesson 3 – 4 Forms of Linear Equations Day 1

Advanced Math/Trig

Forms of Linear EquationsStandard Form: Ax + By = C

No fractions A is positiveSlope Intercept Form: y = mx + b m = slope b = y-interceptPoint Slope Form: m = slope ( is a point on the line

Linear Equations1. Write an equation of a line with slope –2 and passes through the point (–1, 4). Graph. y – 4 = –2(x –(–1)) y – 4 = 2(x + 1)Graph the point (–1, 4) and move slope

y

x

Write an equation in standard form

2. Through (2, 2) and (–1, 3)

y – 3 = (x – (–1))

– 3y + 9 = x + 1

– 3y + 8 = x

x + 3y = 8

Does NOT matter what point you use, will get the same answer either way!

(–3)( ) ( )(– 3)

Linear Equations3. Write an equation of a line with slope 3 and y – intercept –2. Graph.y = mx + by = 3x – 2 If want it in Standard Form, then–3x + y = –2 3x – y = 2

y

x

Linear Equations4. Write an equation of a line with slope and x – intercept –6. x – int. is at (–6, 0). Use that point with slope. y – 0 = (x + 6)y = 2y = x + 6x – 2y = – 6

y

x

Linear Equations5. Write an equation of a line that goes through (3, 4) and slope does not exist.Slope is undefinedVertical Linex = 3y

x

Linear Equations6. Write an equation of a line that goes through (3, 4) and slope 0.Slope is 0Horizontal Liney = 4y

x

Ticket Out the Door

Simplify

Homework

#306 Pg. 186 #46 – 64 even,

Pg.192 #1 – 7 odd