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A function is called one - one if each element of domain has a distinct image of co - domain or for any two or more the two elements of domain, function doesn'thave same value. Otherwisefunction will be many - one. Function is called onto if co - domain = Range otherwise into. Function which is both one - one and onto, is called bijective. answer is defined only for bijective functions. If f:R rarr and f(x) = ax+sinx+a, then

Answer»

f(x) is ONE - one ONTO function if `a in R`
f(x) is one - one onto function if `a in R-[-1, 1]`
f(x) is one - one onto function if `a in R -{0}`
f(x) is one - one onto function if `a in R-{-1}`

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