A function is defined as a relationship between two quantities where every input value has
O no value.
O exactly one output value
O infinitely many values
O exactly one input value
O exactly one output value.
The correct answer is: O exactly one output value.
A function is a mathematical relationship between two quantities, where each input value corresponds to exactly one output value. In other words, for every input, there is a unique output.
A function is defined as a relationship between two quantities, typically denoted as x and y, where every input value (x) has exactly one output value (y). This means that for any given x-value, there is only one corresponding y-value.
To understand this concept, you can think of a function as being like a machine. Each input value (x) is like putting something into the machine, and the output value (y) is what comes out. In a well-defined function, every possible input value will produce exactly one output value, just as every item you put into the machine will produce a specific result.
It's important to note that in mathematics, a function can have multiple inputs (x-values) that correspond to the same output (y-value). However, for each individual input value, there will still only be one output value. This is known as the "one-to-one" property of a function.