1-3 - 1.3 Linear Functions and Straight Lines Linear...

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1.3 Linear Functions and Straight Lines Linear functions are of the form f(x) = mx + b e.g f(x) = -3x + 4 (m = -3, b = 4) called line ar because they graph as straight lines sometimes written y = mx + b (slope-intercept form) Graphing a linear function using intercept method Example: or f(x) = 2x + 4 (1) convert to equation form: y = 2x + 4 (2) Find intercepts:set x = 0, solve to get y-intercept = 4 set y = 0, solve to get x-intercept = -2 (3) Plot the intercepts and draw the line: -4 -3 -2 -1 1 2 3 4 5 -4 -3 -2 -1 1 2 3 4 x y 1-3 p.1
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Graphing a function having restricted domain Most real-world functions will have restricted domains, e.g. A = 6t + 10, 0 ≤ t 100 The “0 ≤ t 100” is a domain restriction , meaning that the function is valid only for values of t between 0 and 100, inclusive. To graph it, calculate the points at the extreme left and right: if t = 0, A = 10 point (0, 10) if t = 100, A = 610 point (100, 610) Graph the points and draw the line: 10 20 30 40 50 60 70 80 90 100 11 100 200 300 400 500 600 t A 1-3 p.2
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This note was uploaded on 12/11/2011 for the course MATH 1324 taught by Professor Staff during the Spring '11 term at Austin Community College.

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1-3 - 1.3 Linear Functions and Straight Lines Linear...

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