Locating Zeros of a Polynomial Function

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Presentation transcript:

Locating Zeros of a Polynomial Function The purpose of today’s lesson is to interpret data from a table and to use a calculator table to approximate a zero of a function to the nearest 1/100. Additionally, we will use the table functions of the TI 84 to predict an equation that matches the input of data.

Locating Zeros of a Polynomial Function f(x) = x3 + 3x2 - 4x + 6 locate zeros, mins and maxs, x? R 1 3 -4 6 -5 -2 -24 -1 -3 4 18 2 -6 12 5

Locating Zeros of a Polynomial Function x y -3 -5 -2 -1 4 7 1 2 5 3 137 Zeros occur between consecutive numbers (x) where the y-value changes from positive to negative (or vice versa)

Locating Zeros of a Polynomial Function On the TI 84 Clear lists (stat key, list keys, comma) Enter x in list 1 and y in list 2 Go to catalog scroll to diagnostics on, enter Go to stat, calc, LinReg, QuadReg, CubicReg, QuartReg and check R2