Which of the following is a one-to-one function?
A. x=2y^2-3y+5
B. f(x)={-5x-1; x<-2
{square root of 4(x+2) x is greater than or equal to -2
C. y=[x]
D. f(x)={4; 0 less than or equal to x<2
{5; 2 is less than or equal to x<4
{6; 4 is less than it equal to x<6

A function X → Y is said to be one to one (or injective function), if the images of distinct elements of X under f are distinct, for every x1 , x2 ∈ X, f(x1 ) = f(x2 ) implies x1 = x2.

Otherwise, it is called many to one function.

Hence, the one-to-one function is f(x)={-5x-1; x<-2 {square root of 4(x+2) x is greater than or equal to -2.

So, option B is correct.

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Which of the following is a one-to-one function? A. x=2y^2-3y+5 B. f(x)={-5x-1; x<-2 {square root of 4(x+2) x is greater than or equal to -2 C. y=[x] D. f(x)={4; 0 less than or equal to x<2 {5; 2 is less than or equal to x<4 {6; 4 is less than it equal to x<6

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Which of the following is a one-to-one function?
A. x=2y^2-3y+5
B. f(x)={-5x-1; x<-2
{square root of 4(x+2) x is greater than or equal to -2
C. y=[x]
D. f(x)={4; 0 less than or equal to x<2
{5; 2 is less than or equal to x<4
{6; 4 is less than it equal to x<6