identify each of the following functions as even, odd, or neither.\na) ( f(x)=x^{2} )\neven\nodd\nneither
identify each of the following functions as even, odd, or neither.\na) ( f(x)=x^{2} )\neven\nodd\nneither
Answer
Explanation:
Step1: Recall the definition of an even function
An even function satisfies (f(-x)=f(x)) for all (x) in the domain of (f).
Step2: Substitute (-x) into the function (f(x)=x^{2})
[ \begin{align*} f(-x)&=(-x)^{2}\ &=x^{2}\ &=f(x) \end{align*} ]
Answer:
Even