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Class 11 · Mathematics

If (f:A\to B) and (g:A\to B) are functions and (f(x)=g(x)) for every (x\in A), what is the correct conclusion?

Class 11 · Mathematics

Let (A={1,2,3}), (B={2,4,6,8}), and (f(x)=2x). What is the difference between codomain and range?

Class 11 · Mathematics

If \(f:\{1,2,3\}\to\{0,1,2,3\}\) and \(f(x)=x-1\), which of the following is the graph of \(f\)?

Class 11 · Mathematics

Which option correctly states the difference between a function and a relation?

Class 11 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\frac{1}{x-2}) is written, why is it not a function on all of (\mathbb{R})?

Class 11 · Mathematics

Let A={1,2,3,4}, B={a,b}, and f(1)=a, f(2)=a, f(3)=b, f(4)=b. Which statement is correct?

Class 11 · Mathematics

If (A={1,2,3}) and (B={1,2,3}), how many functions from (A) to (B) have (f(1)=2) fixed?

Class 11 · Mathematics

Which of the following correctly describes the domain and range of the real-valued function \(f(x)=\frac{x^2+1}{x^2-1}\)?

Class 11 · Mathematics

Consider R={(x,y)∈N×N:y=x+2} from N to N. Which statement is correct?

Class 11 · Mathematics

If (R={(x,y)\in\mathbb{Z}\times\mathbb{Z}:y^2=x}) is considered as a relation from (\mathbb{Z}) to (\mathbb{Z}), why is it not a function?

Class 11 · Mathematics

If (A={a,b,c}), (B={1,2}), and (f(a)=1), (f(b)=2), (f(c)=2), what is the range of (f)?

Class 11 · Mathematics

Which option represents a valid function from (A={1,2,3}) to (B={x,y,z})?

Class 11 · Mathematics

If f:A→B, A={1,2,3,4}, B={0,1,2}, and f(x) gives the remainder when x is divided by 3, what is f(4)?

Class 11 · Mathematics

Given f:{1,2,3}→{1,2,3,4,5} with f(x)=2x, why is this function not well-defined?

Class 11 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2), which statement is correct from the function point of view?

Class 11 · Mathematics

What is the ratio of the number of all functions to the number of all relations from (A={1,2,3}) to (B={4,5})?

Class 11 · Mathematics

If (f:A\to B) is a function, what kind of subset of (A\times B) must (f) be?

Class 11 · Mathematics

Let (A={0,1,2}) and (B={1,2,3,4}). Which statement is correct for (R={(0,1),(1,2),(2,3),(2,4)})?

Class 11 · Mathematics

Which of the following relations from \(A=\{1,2,3\}\) to \(B=\{a,b\}\) is not a function?

Class 11 · Mathematics

If \(f:\{1,2,3,4\}\to\{0,1\}\) is defined such that \(f(x)=0\) when \(x\) is even and \(f(x)=1\) when \(x\) is odd, what is the range of \(f\)?