Oh, what a lovely question! In the world of functions, each input value (x) should correspond to only one output value. This means that the domain (x-values) should not repeat in a function to keep things organized and clear. Just like painting a happy little tree, each branch should have its own place to shine!
The domain x can repeat in a function as long as it represents the same integer throughout the entire function.
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The above answer is not true for a number of reasons.
First of all, the domain of a function need not be restricted to integers, as is implied above.
Second, consider f of x, denoted by f(x), which is defined in the following table:
x f(x)
1 2
2 3
1 4
The value x = 1 repeats. In both cases it represents the same integer. However, the corresponding value of f(x) is not the same. The relationship between x and f(x) is one-to-many. Therefore, f(x) is not a function.
i think you are missing the word point in the question, and if so, then yes. the domain of a function describes what you can put into it, and since your putting x values into the function, if there is a point that exists at a certain x value, then that x is included in the domain.
points
point
A function is a mapping from one set to another. It may be many-to-one or one-to-one. The first of these sets is the domain and the second set is the range. Thus, for each value x in the domain, the function allocates the value f(x) which is a value in the range. For example, if the function is f(x) = x^2 and the domain is the integers in the interval [-2, 2], then the range is the set [0, 1, 4].
The set of all values of x, for which the equation is true is the domain of the function defined by that equation.
No, when the domain repeats it is no longer a function
The domain of a function is simply the x values of the function
The domain of the function f (x) = square root of (x - 2) plus 4 is Domain [2, ∞)
A domain is the x value or values of a set of points of a graph. do not repeat them. It should be written in the following fashion... d={enter x values here with commas between each} The concept of the domain of a function applies not just in algebra, but most areas of mathematics.
A domain is the x value or values of a set of points of a graph. do not repeat them. It should be written in the following fashion... d={enter x values here with commas between each} The concept of the domain of a function applies not just in algebra, but most areas of mathematics.
These are usually the domain of the function.
i think you are missing the word point in the question, and if so, then yes. the domain of a function describes what you can put into it, and since your putting x values into the function, if there is a point that exists at a certain x value, then that x is included in the domain.
The domain of a function encompasses all of the possible inputs of that function. On a Cartesian graph, this would be the x axis. For example, the function y = 2x has a domain of all values of x. The function y = x/2x has a domain of all values except zero, because 2 times zero is zero, which makes the function unsolvable.
The domain of the function means, for what values of the independent variable (input value) (or variables) is the function defined. If you have an equation of the type:y = f(x) ("y" somehow depends on "x") then the domain is all the values that "x" can take.
Give the domain for
Because, if the Domain(x-values) repeats, when graphed on a coordinate plane, there will be multiple dots in a vertical line. If you were to conduct the Vertical Line Test, and there are two points in one straight vertical line, this would not be a function. If the Range(y-values) repeats, this would be a function, because if the Domain is different, then there will be no points plotted in the same line.
f(x)=5x Domain is any number for x that will provide a real number for f(x). In this function, x can be any real number, and f(x) will be a real number. Thus domain is all real numbers.