If f:R→R defined by f(x)=2x+5, if x>0;f(x)=3x−2, if x≤0: then f is
A
a function
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B
one one
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C
onto
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D
one- one and onto
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Solution
The correct option is A one one f:R→R f(x)=2x+5x>0 =3x−2x<0 f′(x)=2x>0 =3x<0 f(x) is monotonic increasing, Every monotonic function is one-one. f(x) is not onto because its range is not equal to its co-domain.