Question

Which of the following is an odd function?
f(x) = x3 + 5x2 + x
mc023-1.jpg
f(x) = x2 + x
f(x) = –x

Answer 1

Answer:

Step-by-step explanation:

f(x) is an odd function if and Only if

f(- x) = - f(x).

Only f(x) = - x is odd Since

f(- x) = - (- x) = - f(x).

Answer 2

put (-x)in place of (x)

if,

f(x)=f(-x),,,then f(x) is even function

and, if ,

f(-x)= -f(x) then it is odd

1] F(-x)= -x3 +5x2 -x

2) F(-x)= x2 - x

3) F(-x)= x

clearly,,3) satisfy the above condition for odd function so,, f(x)= -x is odd function