Which of the following is a polynomial function?

A) $f ( x ) = \frac { \lfloor x \rfloor } { 2 }$
B) $f ( x ) = | x | + 2$
C) $f ( x ) = 3 \lceil x \rceil$
D) $f ( x ) = - \frac { x } { 5 }$
E) $f ( x ) = \sqrt { 5 x }$

Question

Which of the following is a polynomial function?

A) $f ( x ) = \frac { \lfloor x \rfloor } { 2 }$
B) $f ( x ) = | x | + 2$
C) $f ( x ) = 3 \lceil x \rceil$
D) $f ( x ) = - \frac { x } { 5 }$
E) $f ( x ) = \sqrt { 5 x }$

Quizplus · Accepted Answer

A polynomial function is defined by an expression consisting of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. Option D, $f(x) = -\frac{x}{5}$, fits this definition as it can be rewritten as $-0.2x$, which is a polynomial of degree 1. Options A, B, C, and E involve operations (floor, ceiling, absolute value, and square root) that do not fit the definition of a polynomial function.

Which of the Following Is a Polynomial Function? A) f(x)=⌊x⌋2f ( x ) = \frac { \lfloor x \rfloor } { 2 }f(x)=2⌊x⌋​

Which of the Following Is a Polynomial Function?

A) $f ( x ) = \frac { \lfloor x \rfloor } { 2 }$