Which of the following is a constant function?

A) $f ( x ) = \frac { 1 } { \pi ^ { 2 } }$
B) $f ( x ) = x ^ { 6 } + 1$
C) $f ( x ) = x + 6$
D) $f ( x ) = | x |$
E) $f ( x ) = \sqrt { x }$

Question

Which of the following is a constant function?

A) $f ( x ) = \frac { 1 } { \pi ^ { 2 } }$
B) $f ( x ) = x ^ { 6 } + 1$
C) $f ( x ) = x + 6$
D) $f ( x ) = | x |$
E) $f ( x ) = \sqrt { x }$

Quizplus · Accepted Answer

A constant function is one that does not change regardless of the input value of $x$. Option A, $f(x) = \frac{1}{\pi^2}$, is the only function that remains the same for any value of $x$, making it a constant function.

Which of the Following Is a Constant Function? A) f(x)=1π2f ( x ) = \frac { 1 } { \pi ^ { 2 } }f(x)=π21​

Which of the Following Is a Constant Function?

A) $f ( x ) = \frac { 1 } { \pi ^ { 2 } }$