Mathreview - Math Review Function mathematical relationship...

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1 1 Math Review Function: mathematical relationship among two or more variables (dependent and independent) Y=F(Z,W,X) or Y=F(X) Y = m X + c, m: slope c : intercept Y=2 X + 5 …. X=0 Y=5, X=2 Y=9 Linear Relationship y = 2x + 5 0 5 10 15 20 0 1 2 3 4 5 x y 2 Graphs of Functions 0 X Y c m > 0 X Y 0 c > 0 Straight Lines with Different Slopes and Vertical Intercepts 3 Graphs of Functions 0 X Y c m = 0 0 c = 0 X Y Straight Lines with Different Slopes and Vertical Intercepts 4 Graphs of Functions 0 X Y c m < 0 X Y 0 c < 0 Straight Lines with Different Slopes and Vertical Intercepts
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2 5 Examples Advertising and Sales Example 6 Examples A Graph of Advertising and Sales Advertising ($1,000 per month) Sales ($1,000 per month) A B C D E F 2 3 6 7 11 12 24 54 51 39 36 27 18 7 Examples p=100q-5, slope=100, intercept=-5 What if we wanted to draw p on the horizontal axis? Rewrite as 100q = p + 5 Or q = (p+5)/100 ….slope=? intercept=? p=100q-5 -20 0 20 40 60 80 100 120 140 0 1 2 3 4 5 q p q=p/100+5/100 0 0.02 0.04 0.06 0.08 0.1 0.12 0 1 2 3 4 5 p q 8 Shifts vs Movements along a line Y = 2 X + 2 L
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