Table of Contents
- 1 Can a function assign multiple inputs to the same output?
- 2 Can multiple functions have the same output?
- 3 How does relation differ from a function?
- 4 When the input of the function is what is the output of the function?
- 5 Are two functions always equivalent if they produce the same output for a specific input value?
- 6 Can two functions have the same domain and range?
- 7 How to get multiple outputs from a function?
- 8 Why does evaluating always produce the same result?
Can a function assign multiple inputs to the same output?
Each input has only one output. Each input has only one output, and the fact that it is the same output (4) does not matter. This relation is a function. Remember that in a function, the input value must have one and only one value for the output….
| x | y |
|---|---|
| −5 | −6 |
| −2 | −1 |
| −1 | 0 |
| 0 | 3 |
Can a function have repeated input values?
The domain is the set of all “x” values and the range is set of all “y” values in a set of ordered pairs. Repeated values within the domain or range don’t have to be listed more than once. In order for a relation to be a function, each x must correspond with only one y value.
Can multiple functions have the same output?
you cannot be two places at the same time, A function is a relation between sets where for each input, there is exactly one output.
Can a function have the same values?
7.2 Equality of Functions Two functions are equal if they have the same domain and codomain and their values are the same for all elements of the domain.
How does relation differ from a function?
The difference between a relation and a function is that a relationship can have many outputs for a single input, but a function has a single input for a single output. This is the basic factor to differentiate between relation and function. Relations are used, so those model concepts are formed.
What pairs every input in an interval with the same output value?
A function is a relation in which each possible input value leads to exactly one output value. We say “the output is a function of the input.” The input values make up the domain, and the output values make up the range.
When the input of the function is what is the output of the function?
In mathematics, a function is any expression that produces exactly one answer for any given number that you give it. 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.
Can 2 different functions have the same domain and range?
Hence, every given domain value has one and only one range value as a result, but not necessarily vice versa. In other words, two different values of x can have the same y -value, but each y -value must be joined with a distinct x -value.
Are two functions always equivalent if they produce the same output for a specific input value?
Finding Input and Output Values of a Function. Evaluating will always produce one result because each input value of a function corresponds to exactly one output value.
What makes the two functions different?
The more common one is that, for any function, the codomain has to be specified. So, if two functions have different codomains (e.g. R and C in your example), then they are different functions, even if they have the same graph.
Can two functions have the same domain and range?
Is it possible to assign the same value to multiple variables?
It is also possible to swap the values of multiple variables in the same way. See the article below. You can assign the same value to multiple variables by using = consecutively. This is useful, for example, when initializing multiple variables to the same value. It is also possible to assign another value into one after assigning the same value.
How to get multiple outputs from a function?
To obtain multiple outputs from a function and keep them in the desired format you can save the outputs to your hard disk (in the working directory) from within the function and then load them from outside the function: myfun <- function(x) { df1 <-
When to evaluate the output of a function?
When we know an input value and want to determine the corresponding output value for a function, we evaluate the function. Evaluating will always produce one result because each input value of a function corresponds to exactly one output value.
Why does evaluating always produce the same result?
Evaluating will always produce one result because each input value of a function corresponds to exactly one output value. When we know an output value and want to determine the input values that would produce that output value, we set the output equal to the function’s formula and solve for the input.