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in Sets, Relations and Functions by (27.7k points)
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Mark (√) against the correct answer in the following: 

f : R + → R+ : f(x) = ex is 

A. many - one and into 

B. many - one and onto 

C. one - one and into 

D. one - one and onto

1 Answer

+1 vote
by (25.7k points)
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Best answer

Correct Answer is (D) one - one and onto

f(x) = ex

Since the function f(x) is monotonically increasing from the domain R+ → R+

∴f(x) is one –one

Range of f(x) = (1,∞) = R+ (codomain)

∴f(x) is onto

∴ f : R+ → R+ : f(x) = ex is one - one onto.

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