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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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.
f(x) = 2x-3
The standard form for the linear function is f(x)= ax+b.
Therefore, h(x) is NOT a linear function.
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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