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Is the following a linear function? h(x)= 1/2x^2 - 8xIf it is a linear function, please...

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krissymerc | Honors

Posted September 7, 2011 at 8:39 AM via web

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Is the following a linear function?

h(x)= 1/2x^2 - 8x

If it is a linear function, please explain 'Why".

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hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted September 7, 2011 at 12:18 PM (Answer #1)

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h(x) = (1/2)x^2 - 8x

The function h(x) is NOT a linear function.

h(x) is a function of the second degree because x has the power (2).

The linear function should be a function of the first degree such that the highest power of x is 1.

For example:

f(x) = 2x-3

g(x)= 5-5x

The standard form for the linear function is f(x)= ax+b.

Therefore, h(x) is NOT a linear function.

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cheezea | Student, Grade 10 | Valedictorian

Posted September 7, 2011 at 12:40 PM (Answer #2)

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for a linear function the power of x is only 1. if it is more than 1, it is a nonlinear function

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