Answer:
f(x) = |x|
Step-by-step explanation:
Only f(x) = |x| is an even function. If you evaluate this function at x = 3, for example, the result is 3; if at x = -3, the result is still 3. That's a hallmark of even functions.
Answer:
f(x) = |x|
Step-by-step explanation:
If we keep -x in place of x and it does not effect the given function, then it is even function. i.e. f(-x) = f(x).
and, If we put -x in place of x then the resultant function will get negative of the first function, then it is odd function. i.e. f(-x) = -f(x).
1. f(x) = |x|
Put x = -x ,then
f(-x) = |-x| = |x| = f(x)
Hence, f(x) is even function.
2.f(x) = x³ - 1
Put x = -x, then
f(-x) = (-x)³ - 1
= -x³ - 1 = -f(x)
Hence, this function is odd.
3. f(x) = -3x
Put x = -x
then, f(-x) = -3(-x)
= 3x = -f(x)
Hence, the given function is odd function.
Thus, only f(x) = |x| is even function.
