yes
Yes, it is possible to get more than one output number for a single input in certain mathematical contexts, such as in functions that are not well-defined or in multi-valued functions. For instance, in the case of the square root function, the input 4 can yield both +2 and -2 as outputs. This ambiguity occurs when the function does not adhere to the definition of a mathematical function, which requires that each input corresponds to exactly one output.
A relation is a function if each input (or domain value) is associated with exactly one output (or range value). To determine this, you can check if any input value appears more than once in the relation; if it does, the relation is not a function. Additionally, in a graph, a relation is a function if it passes the vertical line test—if any vertical line intersects the graph at more than one point, it is not a function.
It is a relationship from one set to another, which is not a function.
Good question. A relation is simply that; any x-value to create any y-value. A function, however, cannot be defined for multiple values of x. In other words, for a relation to be a function, it must have singular values for all x within its domain.
A function in which each y-value has more than one corresponding x-value is not considered a function in mathematical terms. This is because, by definition, a function assigns exactly one output (y-value) for each input (x-value). When a single y-value is associated with multiple x-values, it creates a relation rather than a function. In such cases, the relationship can be described as a multivalued function or a relation, but it does not meet the criteria of a function.
No. If an input in a function had more than one output, that would be a mapping, but not a function.
No. A function has only one output per input.
By definition. If one input has more than one outputs then it is not 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...).
false
A function is any relationship between inputs and outputs in which each input leads to exactly one output. It is possible for a function to have more than one input that yields the same output.
It is a relationship from one set to another, which is not a function.
More input results in less output. The function is inversely proportional.
Good question. A relation is simply that; any x-value to create any y-value. A function, however, cannot be defined for multiple values of x. In other words, for a relation to be a function, it must have singular values for all x within its domain.
The first one, which we often called SISO, is an open loop system because it has only one input and one output signal. But the later -MIMO- has more than one input and can has also more than one output.So the feedback systems are classified as MIMO because the feedback signal is considered as another input.Note: We can't use transfer function for MIMO systems.Eng.Ahmed Gendeya
No. If the function has more than one x-intercept then there are more than one values of x for which y = 0. This means that, for the inverse function, y = 0 should be mapped onto more than one x values. That is, the inverse function would be many-to-one. But a function cannot be many-to-one. So the "inverse" is not a function. And tat means the original function is not invertible.
I'm guessing that you want to know why a TV needs more than one HDMI input. You could have one HD input from your cable or satellite provider, and then you might have another HD input from your DVD or BlueRay player.