State whether the function is a polynomial function or not. If it is, give its degree.

-$$f ( x ) = 1 - \frac { 1 } { 5 } x$$
A)Yes; degree 1
B)Yes; degree 5
C)Not a polynomial
D)Yes; degree 0

Question

State whether the function is a polynomial function or not. If it is, give its degree.

-$$f ( x ) = 1 - \frac { 1 } { 5 } x$$
A)Yes; degree 1
B)Yes; degree 5
C)Not a polynomial
D)Yes; degree 0

Quizplus · Accepted Answer

The function $f(x) = 1 - \frac{1}{5}x$ is a polynomial because it can be written in the form $a_nx^n + a_{n-1}x^{n-1} + \cdots + a_1x + a_0$, where $n$ is a non-negative integer and the coefficients $a_n, a_{n-1}, \ldots, a_0$ are constants. In this case, the highest power of $x$ is 1, so the degree of the polynomial is 1.

State Whether the Function Is a Polynomial Function or Not f(x)=1−15xf ( x ) = 1 - \frac { 1 } { 5 } xf(x)=1−51​x

State Whether the Function Is a Polynomial Function or Not $f ( x ) = 1 - \frac { 1 } { 5 } x$