f: R+→R defined by f (x)=2x, x∈ (0,1), f (x) = 3x, x∈ [1,∞) is one -one, onto neither one-one nor onto one-one, not onto onto
Question
Solution 1
The function f: R+→R defined by f (x)=2x, x∈ (0,1), f (x) = 3x, x∈ [1,∞) is one-one but not onto.
Here's why:
- One-one (Injective): A function is said to be one-one (or injective), if the images of distinct elements of the domain are distinct, i.e., for every x1, x2 in the domain, if x1 ≠ x2, t Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI
Similar Questions
Consider the function f: R→R defined by f(x)=sin(x)+cos(2x). Which of the following statements about f(x) is true?
f: R+→R defined by f (x)=2x, x∈ (0,1), f (x) = 3x, x∈ [1,∞) is one -one, onto neither one-one nor onto one-one, not onto onto
If f : R → R be defined as f(x) = 𝑥4,then the function f isa) one-one and onto b) many-oneandontoc) one-one but not onto d ) neither one-one nor ont
If R denotes the set of all real numbers then the function f : R → R defined f (x) = [x] isOne-one onlyOnto onlyBoth one-one and ontoNeither one-one nor onto
The function f : R → R defined by f (x) = ex is OntoMany - oneOne - one and into Many one and onto
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.