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Determine whether each function described is linear or not. If it is linear, find its slope; if not, provide computations to justify the claim

Determine whether each function described is linear or not. If it is linear, find-example-1

1 Answer

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Recall that a linear function is a function whose graph is a straight line, that is, a polynomial of degree one or zero.

Now, notice that the given function is a polynomial function of degree 1, also notice that is in slope-intercept form:


f(x)=mx+b,

where m is the slope and (0,b) is the y-intercept.

Therefore, the slope of the given linear function is π.

Answer: The given function is a linear function, and its slope is π.

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User Benjamin Lee
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