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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
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Homework Log Fri 11/13 Lesson Rev Learning Objective: To remember everything in Chapter 3! Hw: Quiz Correction
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Homework Log Fri 11/13 Lesson Rev Learning Objective: To remember everything in Chapter 3! Hw: Extra Credit Review WS
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11/10/15 Chapter 3 Review Advanced Math/Trig
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Learning Objective To remember everything in Chapter 3!
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Graph xy –1 0 1 4 2 3 4 1 V( 1 5)
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Extreme Value
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Piecewise Function Closed Circle @ x = –2 Open Circle @ x = –2 xy –2 –3 –4 4 4.5 5 –2 –1 0 3 2 1
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Piecewise Function Open Circle @ x = –1 Closed Circle @ x = –1 xy –1 –2 –3 3 1 –1 0 1 4 3 2
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Write a Linear Equation
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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
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Write an equation in standard form Or you already know the slope and y-intercept y= mx + b y = 3x + 6 3x – y = –6
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Composite Functions
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Functions 27 [2, 7]
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Functions
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y x Warm – up #4 1.0 1.2 1.9 2.0 2.2 2.9 3.0 xy –2 –1 0
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Vertex: (–2, 4) x y V(– 2 4) – 4 – 3 – 1 0 2 3 3 2
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Vertex: (1, 0) x y V(1 0) – 1 0 2 3 4 1 1 4
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Find the Difference Quotient
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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
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a. Find f ( –3 ) = 3( –3 ) – 7 = – 16 Find Function Values c. Find f ( g ( –3 )) = 3(27) – 7 = 74
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Find Domain & Range
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Word Problem 18. The cost (in dollars) of operating a pizza delivery car is given by C = 9000 + 0.5x, 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.
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#18 continued 18. C = 9000 + 0.5x (0, 9000) & (–18000, 0) Don’t have graph on Quadrant II 9000 –18000milesCost
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Applying Slope 1(y – 2) = 2(2) y – 2 = 4 y = 6
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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 –1 0 1 2 0 –2 –1 0 x │ y │ – 1y
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Midpoint Formula
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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
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Finding Domain of an Equation
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Finding Range of an Equation Draw a quick sketch if need to or use graphing calculator
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Homework #309 Pg. 206 #1 – 4, 8, 12, 20 – 25, 27 – 34, 37 – 39, 42, 45, 47, 50, 53, 57
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