Question

Which of the following is correct about the function f(x)=0?

• A. Its an even function
• B. Its an odd function
• C. Range is R and domain is R
• D. Range is 0 and domain is R

Answer 1

Answer: (A), (B), (D)

The correct options are
A

Its an even function

B

Its an odd function

D

Range is 0 and domain is R

f(-x)=0=f(x)

$\Rightarrow$ even

f(-x)= 0 = -0 = -f(x)

$\Rightarrow$ odd function

Clearly, the range is zero, its output is only that value.

It can take any real number as input $\Rightarrow$ domain is R