Determine algebraically whether the function is even, odd, or neither even nor odd.
-$$f ( x ) = \frac { 28 } { x ^ { 2 } }$$
A) Neither
B) Even
C) Odd

Question

Quizplus · Accepted Answer

An even function satisfies the condition $f(-x) = f(x)$. For the given function $f(x) = \frac{28}{x^2}$, if we replace $x$ with $-x$, we get $f(-x) = \frac{28}{(-x)^2} = \frac{28}{x^2} = f(x)$, which means the function is even.

Determine Algebraically Whether the Function Is Even, Odd, or Neither f(x)=28x2f ( x ) = \frac { 28 } { x ^ { 2 } }f(x)=x228​

Determine Algebraically Whether the Function Is Even, Odd, or Neither $f ( x ) = \frac { 28 } { x ^ { 2 } }$