Determine whether the function below is even,odd,or neither. $$f ( x ) = \frac { x ^ { 2 } } { 3 } - 3 \sec x$$
A)Even
B)Odd
C)Neither

Question

Determine whether the function below is even,odd,or neither.​ $$f ( x ) = \frac { x ^ { 2 } } { 3 } - 3 \sec x$$ ​
A)Even
B)Odd
C)Neither

Quizplus · Accepted Answer

The function $f(x) = \frac{x^2}{3} - 3\sec x$ is even because both terms are even functions. The term $\frac{x^2}{3}$ is even since $x^2$ is even (replacing $x$ with $-x$ does not change the value), and $-3\sec x$ is even because $\sec(-x) = \sec x$.

Determine Whether the Function Below Is Even,odd,or Neither f(x)=x23−3sec⁡xf ( x ) = \frac { x ^ { 2 } } { 3 } - 3 \sec xf(x)=3x2​−3secx

Determine Whether the Function Below Is Even,odd,or Neither $f ( x ) = \frac { x ^ { 2 } } { 3 } - 3 \sec x$