Homework Log Tues 11/10 Lesson Rev Learning Objective: To remember everything in Chapter 3! Hw: #309 Pg. 206 #1 – 4, 8, 12, 20 – 25, 27 – 34, 37 – 39, 42, 45, 47, 50, 53, 57
Homework Log Fri 11/13 Lesson Rev Learning Objective: To remember everything in Chapter 3! Hw: Quiz Correction
Homework Log Fri 11/13 Lesson Rev Learning Objective: To remember everything in Chapter 3! Hw: Extra Credit Review WS
11/10/15 Chapter 3 Review Advanced Math/Trig
Learning Objective To remember everything in Chapter 3!
Graph xy – V( 1 5)
Extreme Value
Piecewise Function Closed x = –2 Open x = –2 xy –2 –3 – –2 –
Piecewise Function Open x = –1 Closed x = –1 xy –1 –2 –3 3 1 –
Write a Linear Equation
6. Write an equation in Standard Form of the line with x-intercept 7 and parallel to 6x – 9 = 3y Parallel slope = 2 Point (7, 0) y – 0 = 2(x – 7) y = 2x – 14 2x – y = 14 Get into slope- intercept form 6x – 9 = 3y y = 2x – 3
Write an equation in standard form Or you already know the slope and y-intercept y= mx + b y = 3x + 6 3x – y = –6
Composite Functions
Functions 27 [2, 7]
Functions
y x Warm – up # xy –2 –1 0
Vertex: (–2, 4) x y V(– 2 4) – 4 – 3 –
Vertex: (1, 0) x y V(1 0) –
Find the Difference Quotient
Function 15. Find domain & range and determine if the relation is a function. {(–1, –2), (–3, 4), (–1, 0)} Domain: {–1, –3} Range: {–2, 0, 4} Not a function because x = –1 twice with different y – values
a. Find f ( –3 ) = 3( –3 ) – 7 = – 16 Find Function Values c. Find f ( g ( –3 )) = 3(27) – 7 = 74
Find Domain & Range
Word Problem 18. The cost (in dollars) of operating a pizza delivery car is given by C = x, where x is the number of miles that the car is driven. Use appropriate restrictions on the variable & graph this equation. Cost (y) won’t go below 0, depends on miles (x), which also won’t go below 0. Graph by finding y – intercept & x – intercept.
#18 continued 18. C = x (0, 9000) & (–18000, 0) Don’t have graph on Quadrant II 9000 –18000milesCost
Applying Slope 1(y – 2) = 2(2) y – 2 = 4 y = 6
Make a table and plug values into y and solve for x y x Sketch the graph │ –2 │ – 2 │ –1 │ – 2 │ 0 │ – 2 │ 1 │ – 2 │ 2 │ – 2 –2 – –2 –1 0 x │ y │ – 1y
Midpoint Formula
y x Two Special Cases x = -3 (no y) y = 2 (no x) I only see an “x” It goes thru x- axis I only see a “y” It goes thru y-axis y x Vertical line thru (-3, 0) Undefined Slope Horizontal line thru (0, 2) Zero Slope Zero Undefined
Finding Domain of an Equation
Finding Range of an Equation Draw a quick sketch if need to or use graphing calculator
Homework #309 Pg. 206 #1 – 4, 8, 12, 20 – 25, 27 – 34, 37 – 39, 42, 45, 47, 50, 53, 57