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Determining function types from Data Tables
MAP4C1
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Linear We know linear graphs have a constant slope
This means the graph increases by equal steps In a table of values, the 1st differences of the y-values are constant Linear
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Quadratic graphs are curved and increase as a square of the x- values
A plot of y vs x2, would yield a straight line In a table of values, the 2nd differences of the y-values are constant (the 1st differences make an arithmetic sequence). Quadratic
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Exponentials Curved graphs, with varying bases
Exists above the x-axis, unless it undergoes some sort of vertical translation The data table can be used here as well: the 1st differences of the y-values will yield a geometric sequence. The ratios of the 1st differences will be a constant Exponentials
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Text work Page 442 #1, 2 Page 447 #1, 2 Page 463 #2,3, 6, 8
Page 470 Investigation – hand in! Text work
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