Which of the following is a constant function?

A) $f ( x ) = 2 x ^ { 2 } - 5$
B) $f ( x ) = \frac { 1 } { e }$
C) $f ( x ) = \frac { 1 } { x }$
D) $f ( x ) = 2 x + 7$
E) $f ( x ) = \sqrt { x }$

Question

Which of the following is a constant function?

A) $f ( x ) = 2 x ^ { 2 } - 5$
B) $f ( x ) = \frac { 1 } { e }$
C) $f ( x ) = \frac { 1 } { x }$
D) $f ( x ) = 2 x + 7$
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 B, $f(x) = \frac{1}{e}$, is the only function that remains the same for any value of $x$, since it does not actually depend on $x$ but is a constant value derived from the mathematical constant $e$.

Which of the Following Is a Constant Function? A) f(x)=2x2−5f ( x ) = 2 x ^ { 2 } - 5f(x)=2x2−5

Which of the Following Is a Constant Function?

A) $f ( x ) = 2 x ^ { 2 } - 5$