Question

Which answer choice gives the definition of a function given from the Desmos activity?

a) A function is a relation where each input is paired with exactly one output.

b) A function is a relation where each output is paired with exactly one input.

c) A function is a relation where inputs and outputs are interchangeable.

d) A function is a relation where inputs and outputs are unrelated.

Answer 1

A function is a relation where each input is paired with exactly one output.

Step-by-step explanation:

A function is a relation where each input is paired with exactly one output. In other words, for every input value, there is only one corresponding output value. This means that each input has a unique output and no input can have multiple outputs.

For example, let's consider the function f(x) = 2x. If we input the value x = 3, the output will be f(3) = 2 * 3 = 6. Similarly, if we input x = -2, the output will be f(-2) = 2 * -2 = -4. In both cases, we have a unique output for each input, satisfying the definition of a function.