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

Feb 20, 2017

No

#### Explanation:

Linear functions are in the form of:

$f \left(x\right) = a x + b$

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

Graph of the function:

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