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Notes 2.1 and 2.2 – Linear Equations and Function Algebra III/Trig. Honor Date:________ Goal: Recall: Equations of lines: 1. 2. 3. 4. 5. Slope of a line o Formula o Conceptually Parallel Lines Perpendicular Lines Examples: 1) Find the slope intercept form of the equations of lines that pass through the point (2, -1) and are (a) parallel and (b) perpendicular to the line 2x – 3y = 5 1 . A business is installing 12 a wheelchair ramp that rises 22 inches over a horizontal length of 24 feet. Is the ramp steeper than recommended? 2) The maximum recommended slope of a wheelchair ramp is 3) A college purchased exercise equipment worth $12,000 for the new campus fitness center. The equipment has a useful life of 8 years. The salvage value at the end of 8 years is $2,000. Write a linear equation that describes the book value of the equipment each year. Recall more….. Function Ways to represent a function 1. 2. 3. 4. Domain of a function Function notation A piecewise function: x 2 1, x 0 f ( x) x 1, x 0 4) Evaluate f(1) 5) Evaluate f(-3) 6) Evaluate f(0) f ( x h) f ( x ) h 2 Find the difference quotient for f(x) = 2x – 1 The difference quotient is defined to be 7) HW: It is assumed that you can answer all types of problems from p. 169 #1- 80 p. 169 92, 95, 100, 103, 108 p. 182 6 – 10 even, 16, 22, 32, 40, 42, 52, 58, 66, 68