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Option 4
f(x) = -x is an odd function
<em><u>Solution:</u></em>
A function is odd if and only if f(–x) = –f(x)
<em><u>Option 1</u></em>
Substitute x = -x in above equation
Cubes always involve multiplying a number by itself three times, so if the number is negative the cube will always be negative
Ans squaring results in positive
--- eqn 1
---- eqn 2
Comparing eqn 1 and eqn 2,
Therefore not an odd function
<em><u>Option 2</u></em>
Therefore,
Therefore not an odd function
<em><u>Option 3</u></em>
Therefore not an odd function
<u><em>Option 4</em></u>
Thus option 4 is correct and it is an odd function