By looking at the degree of the polynomials, we conclude that the option that is not linear is option C.
Which of the following functions is not a linear function?
A polynomial is an expression of the form:
[tex]p(x) = a_n*x^n + a_{n-1}*x^{n-1} + ... + a_0[/tex]
Where all the exponents are natural numbers.
We define the degree of a polynomial as the largest exponent, and we define a linear function as a polynomial of degree 1.
So a linear function is of the form:
[tex]f(x) = a_1*x + a_0[/tex]
Now, if you look at option C, you can see that the degree of that polynomial is 2. So that is not a linear function.
Then the correct option is C.
If you want to learn more about linear equations:
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