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