Table of Contents
Can a function have multiple outputs for one input?
No mathematical function has “multiple outputs for a single input”. Many mathematical functions have more than one input that gives the same output.
Why can’t a function have 2 y values?
While a function may NOT have two y-values assigned to the same x-value, it may have two x-values assigned to the same y-value. Function: each x-value has only ONE y-value! If the vertical lines intersected the graph in more than one location, we had a relation, NOT a function.
Is there only one output for every input?
A function is a relation between sets where for each input, there is exactly one output.
Can function have multiple outputs?
Multiple-number output A multivariable function is just a function whose input and/or output is made up of multiple numbers. In contrast, a function with single-number inputs and a single-number outputs is called a single-variable function.
Can there be multiple outputs in a function?
It is important to note that when one says multiple outputs, it is not that there are several alternative outputs, there is a set or ordered sequence of outputs. You can view the output as a single sequence or as several numbers. When you talk of multiple outputs you are viewing it as several numbers.
Can functions have different outputs?
When the input of a function is what is the output?
The input is the number you feed into the expression, and the output is what you get after the look-up work or calculations are finished. The type of function determines what inputs are acceptable; the entries that are allowed and make sense for the function.
Is many-to-one a function?
In general, a function for which different inputs can produce the same output is called a many-to-one function. If a function is not many-to-one then it is said to be one-to-one. This means that each different input to the function yields a different output. Consider the function y(x) = x3 which is shown in Figure 14.
How can a function be one-to-one and onto?
The horizontal line y = b crosses the graph of y = f(x) at precisely the points where f(x) = b. So f is one-to-one if no horizontal line crosses the graph more than once, and onto if every horizontal line crosses the graph at least once.