Question

Is the function shown in the graph one-to-one?

No, there exists more than one input for at least one output.

Yes, there exists one input for every output.

No, there exists more than one output for at least one input.

Yes, there exists one output for every input.

Answer 1

→A function is said to be one-one, if for each distinct input there is distinct output.

→In the graph given below, the function is

f(x)=c

→For each distinct input ,there is single output.

So, the function is not one -one.

Option A

No, there exists more than one input for at least one output.

Answer 2

In the given diagram , the graph is a straight line and for every x value the y value is same.

And for a function to be one-to-one, there exist one output for different inputs .

So the given function is not one-to-one and the correct option is the first option .