MAT135H1 Lecture 1: MAT135 Spet 6th
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MAT135H1 Full Course Notes
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Function is a rule that takes certain numbers as input and assigns to each a definite output. Set of all resulting output numbers is called range e. g. instagram followers over time. Daily snowfall in inches for boston (jan 27 to feb 2, 2015) Graphs (graphical) s e h c n i l l a f w o n s. Example: crickets chirp per minute: all crickets chirp at essentially the same rate if they are the same temperature, also increase steadily with temperature. Key similarities and differences between models: all functions decrease as time goes on height of water decreases. Linear: every unit of time height drops by same amount. Y = f(x) = b + mx m: slope = (cid:3045)(cid:3046)(cid:3032)(cid:3045) = (cid:3052) (cid:3051) = (cid:3033)(cid:4666)x(cid:2870)(cid:4667) (cid:3033)(cid:4666)(cid:3051)(cid:2869)(cid:4667) (cid:3051)(cid:2870) (cid:3051)(cid:2869) b: y-int. Concave up graphs for each unit of time, the height drops by different amounts. Table of values: easy to collect from, does not give all (numerical)
