The function f : R → R defined by f (x) = ex is OntoMany - oneOne - one  and into Many one and onto

Question

The function f : R → R defined by f (x) = ex is OntoMany - oneOne - one  and into Many one and onto
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Solution 1

The function f : R → R defined by f (x) = e^x is both one-to-one and onto.

Here's why:

  1. One-to-one (Injective): A function is said to be one-to-one (or injective) if the preimage of any two different elements in the codomain are different. In other words, if f(x1) = f(x2), then x1 must equal x2. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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