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That is the definition of a function.
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∙ 11y ago
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How do we know that the input have one output or more in a function in math?
By definition. If one input has more than one outputs then it is not a function.
What is an input-output relationship that has exactly one output for each input?
function
In a function can an input have more than one outputs?
No. If an input in a function had more than one output, that would be a mapping, but not a function.
What is an input or output relation that has exactly one output for each input?
A one-to-one function, a.k.a. an injective function.
A function takes the exponential function's output and returns the exponential function's input?
A __________ function takes the exponential function's output and returns the exponential function's input.
Can a function have more than one output per one input?
No. A function has only one output per input.
For every input there must be only one output for it to be a function What if there was more than one output to an input is it still then a function?
No, it is not. A function can only have one output per input. (If it has more than one, it is still maths, but it cannot be called a "function". It would probably be called an equation or a formula etc...).
How do we know that the input have one output or more in a function in math?
By definition. If one input has more than one outputs then it is not a function.
What is true for all functions?
For any given input, the function will only have one output value.
What makes a function?
A function has an input and an ouput. Each input can only have one output. Examples of functions: x = y y = x2 y = cos(x) where y is the output and x is the input.
What is an input-output relationship that has exactly one output for each input?
function
A function is a relation in which each element in the input is mapped to how many elements in the output?
It can be mapped to only one value.
What is a composite function?
This is a combination of two functions, where you apply the first function and get a result and then fill that answer into the second function. OR These are what you get when you take the output of one function and use it to solve the output of the next function.
In a function can an input have more than one outputs?
No. If an input in a function had more than one output, that would be a mapping, but not a function.
What is the function rules of input and output?
The rule is what actions (operations) the function performs. The only requirement is that for each imput there is an output and that the same input always results in the same output. (Different inputs can have the same output).
If you quadruple the input of a function and the resulting output is one-fourth the original output what may be true of the function?
More input results in less output. The function is inversely proportional.
Why when you press a it shows a?
It is a function. A function is the relationship between the input of an equation and its output wherefor each input has only one output (or answer). 2+2 will always equal 4, and pressing "a" in a word processor will always render and "a" on the screen.
