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The only way is to look at the definition of the function.


A function is a one-to-one or many-to-one mapping from a set S to a set T, which may be the same as S. These sets need need not be numerical. The domain could be the residents of a town with the range as the first two letters of their first name!


Definitional gaps in the domain can always be removed by definition. For example,

the function f(x) = 1/x must have a domain that excludes x = 0.


However, f(x) = 1/x when x?

0, f(0) = 17.3 (for example) does include 0 in its domain.


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11y ago
The only way is to look at the definition of the function.


A function is a one-to-one or many-to-one mapping from a set S to a set T, which may be the same as S. These sets need need not be numerical. The domain could be the residents of a town with the range as the first two letters of their first name!


Definitional gaps in the domain can always be removed by definition. For example,

the function f(x) = 1/x must have a domain that excludes x = 0.


However, f(x) = 1/x when x≠

0, f(0) = 17.3 (for example) does include 0 in its domain.


This answer is:
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Q: How do you find the domain of an equation?
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If a function is defined by an equation explain how to find its domain.?

The set of all values of x, for which the equation is true is the domain of the function defined by that equation.


How do you find the equation of a graph?

You find the equation of a graph by finding an equation with a graph.


How do you find the domain and range of a hyperbola?

the domain is when the denominator of the problem is set to zero... but i am not sure how to find the range


What is an equation that is not true for any value of the variables?

It is an equation with no solutions [in the given domain]. There may (or may not) be solutions if you change the domain.For example, if X is an integer, then 5X = 2 has no solution. But if you change the domain to rational numbers, then X = 2/5 or 0.4 is a solution.


What is the difference between the domain and the range?

Domain is the x-axis and range is the y-axisThe domain is all the x-values that a function that take on, and the range is all the y-values that it can be. For instance, if you were given a set of coordinates such as {(2,3), (4,1), and (-9,5)}, you domain would be (-9, 2, 3) for the x-values, and your range would be (1,3,5) for the y-values. If you have to find domain and range for a function, domain typically being found first, you must think of all the possible x-values that could satisfy that equation. If there is a square root, you must ensure that the values do not make that section of the equation negative, and in other cases you must make sure you do not divide by zero. You can then find the range by making a graph or a chart.Domain is/are the value(s) which go under a rule (function of x) and the range is/are the value(s) you get out.

Related questions

If a function is defined by an equation explain how to find its domain.?

The set of all values of x, for which the equation is true is the domain of the function defined by that equation.


How do you find the range of an algebra equation?

You need to know the domain first. For each value in the domain there will be a value for the function (or expression). These may not all be different. The set of these values is the range of the equation.


Find the domain and range of the equation 3x - 2y equals 6?

domain is set of real numbers range is set of real numbers


What does the word domain mean in math?

Domain is the independent variable in an equation. It is what you put "in" the equation to get the Range.


Can the domain be zero?

The domain is the (x) of the equation, and if (x) is zero then that is the domain. So yes the domain can be zero.


What equation is true for some values of its variable and is not true for others?

No equation can have that property. It cannot be an equation if it is not true. If necessary, the domain must be amended. An equation can have different forms over different parts of its domain.


What is impulsive differential equation?

Differential equation is defined in the domain except at few points (may be consider the time domain ti ) may be (finite or countable) in the domain and a function or difference equation is defined at each ti in the domain. So, differential equation with the impulsive effects we call it as impulsive differential equation (IDE). The solutions of the differential equation is continuous in the domain. But the solutions of the IDE are piecewise continuous in the domain. This is due to the nature of impulsive system. Generally IDE have first order discontinuity. There are so many applications for IDE in practical life.


what is differential equation?

Differential equation is defined in the domain except at few points (may be consider the time domain ti ) may be (finite or countable) in the domain and a function or difference equation is defined at each ti in the domain. So, differential equation with the impulsive effects we call it as impulsive differential equation (IDE). The solutions of the differential equation is continuous in the domain. But the solutions of the IDE are piecewise continuous in the domain. This is due to the nature of impulsive system. Generally IDE have first order discontinuity. There are so many applications for IDE in practical life.


What is the domain and range of y equals 4x-1?

5


Which equation can have the following domain and range?

Which equation can have the following domain and range? {x | 8 ≤ x ≤ 14} {y | 29 ≤ y ≤ 53}Answer this question…


How do you find 3 different ordered pairs that are solutions of the equation?

Select any three values of x in the domain of the equation. Solve the equation at these three points for the other variable, y. Then each (x, y) will be an ordered pair that is a solution of the equation.


What are the methods of writing domain and range function?

Find all possible "x" and "y" values for domain and range. Then put it in inequality form. For example the domain and range for the equation 2x-3/x-5 would be: Domain: All Reals; x>5 Range: All Reals