You are basically looking for an equation with an x and y value where when 4 is set as x, y would equal 7. An equation of this is:
3 + x = y
when x = 4, then y = 3 + 4 = 7
Anything you like - it depends on the function that relates the output to the input.
Input/output table, description in words, Equation, or some type of graph
If by 'rule' you mean 'function' then there are an infinite number of possible answers. However, here are some examples. (Let input be x and output y.) Linear Functions y = x + 6 y = 3x + 10 Polynomials y = 3x2 - x - 10 y = x4 + 2x3 + 3x2 - 2x - 12 Exponentials y = 0.5x
There are infinitely many possible answers. y = x - 4 y = x*0 y = x2 - 16 y = |sqrt(x)| - 2 that's 4 of them.
When the value of one variable is related to the value of a second variable, we have a relation. A relation is the correspondence between two sets. If x and y are two elements in these sets and if a relation exists between xand y, then we say that x corresponds to y or that y depends on x, and we write x→y. For example the equation y = 2x + 1 shows a relation between x and y. It says that if we take some numbers x multiply each of them by 2 and then add 1, we obtain the corresponding value of y. In this sense, xserves as the input to the relation and y is the output. A function is a special of relation in which each input corresponds to a single (only one) output.Ordered pairs can be used to represent x→y as (x, y).Let determine whether a relation represents a function. For example:1) {(1, 2), (2, 5), (3, 7)}. This relation is a function because there are not ordered pairs with the same firstelement and different second elements. In other words, for different inputs we have different outputs. and the output must verify that when the account is wrong2) {(1, 2), (5, 2), (6, 10)}. This relation is a function because there are not ordered pairs with the same firstelement and different second elements. Even though here we have 2 as the same output of two inputs, 1 and 5, this relation is still a function because it is very important that these inputs, 1 an 5, are different inputs.3) {(1, 2), (1, 4), (3, 5)}. This relation is nota function because there are two ordered pairs, (1, 2) and (1, 4) with the same first element but different secondelements. In other words, for the same inputs we must have the same outputs. of a but
Anything you like - it depends on the function that relates the output to the input.
the output is divided by 4
The output of the function would depend on the specific function itself. Without knowing the function, it is not possible to determine the output.
It is 4.
No. It's not really a "function" at all, properly speaking, and if we bend the interpretation a little then it's a many-to-one function, since no matter what the input value is, the output is 4.
The rule that determines the output number based on the input number is known as a function. For example take the function: f(x) = x+1. F is the name of our function, x is the input number, and f(x) is our output number. So if our input number is 3, our function or "rule" says to add one to it. Therefore, f(x), known as the output number, would be 4 since 3+1 = 4.
Input: 1, 1, 2, 3, 4 Output: Mean: (1+1+2+3+4)/5 Mode: 1 the value that occurs most frequently in the input Min: 1 is the minimum value of the input Max: 4 is the maximum value of the input
There are infinitely many possible answers: Rule I: Output = 4 (whatever the input, the output is 4). Rule 2: Output = Input - 2 Rule 3: Output = Input/2 + 1 Rule 4: Output = (Input/3)2
The output or y-value when you input x-4 into the function y = 2x + 6 is 2(x-4) + 6 = 2x - 8 + 6 = 2x - 2.
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.
If you mean what are the various ways of representing a function? Then I'd suggest you ponder over the definition of a function at first. I think of functions as abstract entities that accept inputs and give a single output for every such input. Going off of this definition, various ways of representing a function are: 1) Explicit formula: This relates the output of a function to the input. i.e it tells you what exactly the function does to the input. eg. f(x) = x +2 tells you the function adds 2 to the input value. 2) The graph of a function: This gives you a good idea of how the function behaves in it's entire domain (the set of inputs for which the output is defined and real). 3) A table of inputs and outputs. 4) Verbal description of a function
Input/output table, description in words, Equation, or some type of graph