Question

What relation is a function?

a) Each input has only one output.

b) Each output has only one input.

c) Multiple inputs can have the same output.

d) Both a and b.

Answer 1

A function is a relationship where each input has only one output.

Step-by-step explanation:

A function is a relationship where each input has only one output. This means that for every value of the input, there is only one corresponding value of the output. In other words, each input is associated with a unique output. This is represented by the vertical line test, where a function is valid if a vertical line intersecting the graph of the function only crosses it at one point.

For example, consider the function f(x) = 2x, where x is the input and 2x is the output. If we input x = 3, the output is 2(3) = 6. If we input x = 4, the output is 2(4) = 8. Each input has one and only one corresponding output.

Therefore, the correct answer is a) Each input has only one output.