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1.2 L INEAR VS Q UADRATIC F UNCTIONS

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The degree of a function is the largest exponent of x in the equation. A linear function, such as y = 2x 1 - 3, has a degree of ____. A quadratic function, such as y = -2x 2 + 4, has a degree of ____. If a function has any other degree it is neither linear nor quadratic. eg y = 3x 3 -2x + 5

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If the first differences are all the same, the function is linear. If the second differences are all the same, the function is quadratic.

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Determine if each of the following functions are linear, quadratic, or neither. a) y = -4x 4 + 3x 2 - 6 b) y = x(x + 4) c) y = x 2 + 2x - (x 2 - 3)

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d) Jordan was holding a helium filled balloon but it just escaped from his hand. The height of the balloon in metres, t seconds later is shown in the following chart: t0 1 2 3 4 h25.6 10.6 17 22.8

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H OMEWORK : P AGE 24 #1 – 9

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5.1 Modeling Data with Quadratic Functions

5.1 Modeling Data with Quadratic Functions

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