Is $f (x) = 7 x^{5} + x - 1$ $f(x)=7x^5+x-1$ a linear function and explain your reasoning?

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Answer 1 · 2017-02-20T20:21:35

No

Linear functions are in the form of:

$f (x) = a x + b$ $f(x)=ax+b$

However, this has an $x^{5}$ $x^5$ term so this is not linear.

Graph of the function:

graph{(7(x^5))+x-1 [-10, 10, -5, 5]}

Is f(x)=7x5+x−1f(x)=7x^5+x-1 a linear function and explain your reasoning?