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.

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 .

→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.

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

table 3 represents a direct variation function. : )