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Could this ever be the rule of a function For input x the output is the number whose square is x If so what is its domain and range?
Yes, the domain(input) would be all natural numbers (numbers greater or equal to zero).
The range (output) would be all real numbers.
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Not only natural numbers would be considered part of this domain, all negative numbers are also reasonable inputs to this function, as any negative number multiplied by itself would produce a positive number.....
The output (range) would therefore be all positive real numbers......
What else can I help you with?
What are the domain And range for the square root function?
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How do you find the domain of a function?
to find the domain first check all the possibilities of the denominator attaining a value of zero then if the function has any thing inside a square root, the expression inside the root must be always greater than or equal to zero.If the square root is in the denominator then the expression inside must be just greater than zero but not equal to zero.
What is the function rule for input -2 output 13?
There are many functions where if your input is -2 the output is 13. The simplest is probably just adding 15. You could also square -2 (to get 4) and then add 9.
Domain of y equals square root of 16-x squared divided by 2?
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What is the square root of 65536?
The square root of 65536 is 256. This is because the square root of a number is a value that, when multiplied by itself, gives the original number. In this case, 256 multiplied by 256 equals 65536. The square root function is the inverse of squaring a number.
How does inverse function work?
Let's illustrate with an example. The square function takes a number as its input, and returns the square of a number. The opposite (inverse) function is the square root (input: any non-negative number; output: the square root). For example, the square of 3 is 9; the square root of 9 is 3. The idea, then, is that if you apply first a function, then its inverse, you get the original number back.
What is Domain of the Function?
The domain of a function is the set of numbers that can be valid inputs into the function. Expressed another way, it is the set of numbers along the x-axis that have a corresponding solution on the y axis.
In mathematics how does one find a domain?
In mathematics, the domain of a function is the set of values that provide a real output. For example, for the equations y = 1/x or y - sqrt(x+3), the domain consists of all the values for x that provide a real output for y. For fractions, a denominator of zero will not provide a real output. For even roots, a negative value under the radicand will not provide a real output. One can find the domain by finding these exceptions and excluding them from the domain set.
What are the domain And range for the square root function?
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What does domain and estimate the range mean in math?
"Domain" means for what numbers the function is defined (the "input" to the function). For example, "x + 3" is defined for any value of "x", whereas "square root of x" is defined for non-negative "x". "Range" refers to the corresponding values calculated by the function - the "output" of the function. If you write a function as y = (some function of x), for example y = square root of x, then the domain is all possible values that "x" can have, whereas the range is all the possible values that "y" can have.
How do you find the range with the domain?
Find the range of a function by substituting the highest domain possible and the lowest domain possible into the function. There, you will find the highest and lowest range. Then, you should check all the possible cases in the function where a number could be divided by 0 or a negative number could be square rooted. Remove these numbers from the range. A good way to check to see if you have the correct range is to graph the function (within the domain, of course).
Why is the range the output and the domain the input?
A function may be defined over only certain values. That is, it may have only a certain set of values that can serve as input. For example, in elementary mathematics, the principal square root is only defined for non-negative real numbers. This is the "area" over which the function is valid and so it is called the domain. The mathematical term for the set of output values is actually the co-domain, but many people refer to it as the range.
What is the domain of the function f x x 2 plus 4?
The domain of the function f (x) = square root of (x - 2) plus 4 is Domain [2, ∞)
How does functions work?
Let's illustrate with an example. The square function takes a number as its input, and returns the square of a number. The opposite (inverse) function is the square root (input: any non-negative number; output: the square root). For example, the square of 3 is 9; the square root of 9 is 3. The idea, then, is that if you apply first a function, then its inverse, you get the original number back.
How do you find the domain?
The domain of a function, is the range of input values which will give you a real answer.For example the domain of x+1 would be all real numbers as any number plus 1 will be another real numberThe domain of x0.5 would be all positive numbers as the answer to square root of a negative number is not realNote:x0.5 means the square root of x* * * * *Not quite. A function is a one-to-one or many-to-one mapping from a set S to a set T (which need not be a different set). A function can be one whose domain is all the cars parked in a street and the range is the second character of their registration number.A mathematical function can have the complex field as its domain and range, so a real answer is not a necessary requirement for a function.
What is the domain of a square root function with an endpoint at 4 5?
There can be no possible answer because the point (4, 5) is not on a square root.
How do you know mapping is function or not?
A mapping is a rule that defines an association between two sets: a domain and a codomain (which need not be different from the domain).For a mapping to be a function, each element in the domain must have a unique image in the codomain.Sometimes, it is necessary to define the domain so that this requirement is satisfied. For example, square root is not a function from the set of Reals (R) to the Reals (R)because there is no image for a negative number. Also, any positive element of R can be mapped to the principal square root or its negative value. You can get around this by defining the domain as the non-negative real numbers, R0+, and the codomain as either the same or the non-positive real numbers.A mapping is a rule that defines an association between two sets: a domain and a codomain (which need not be different from the domain).For a mapping to be a function, each element in the domain must have a unique image in the codomain.Sometimes, it is necessary to define the domain so that this requirement is satisfied. For example, square root is not a function from the set of Reals (R) to the Reals (R)because there is no image for a negative number. Also, any positive element of R can be mapped to the principal square root or its negative value. You can get around this by defining the domain as the non-negative real numbers, R0+, and the codomain as either the same or the non-positive real numbers.A mapping is a rule that defines an association between two sets: a domain and a codomain (which need not be different from the domain).For a mapping to be a function, each element in the domain must have a unique image in the codomain.Sometimes, it is necessary to define the domain so that this requirement is satisfied. For example, square root is not a function from the set of Reals (R) to the Reals (R)because there is no image for a negative number. Also, any positive element of R can be mapped to the principal square root or its negative value. You can get around this by defining the domain as the non-negative real numbers, R0+, and the codomain as either the same or the non-positive real numbers.A mapping is a rule that defines an association between two sets: a domain and a codomain (which need not be different from the domain).For a mapping to be a function, each element in the domain must have a unique image in the codomain.Sometimes, it is necessary to define the domain so that this requirement is satisfied. For example, square root is not a function from the set of Reals (R) to the Reals (R)because there is no image for a negative number. Also, any positive element of R can be mapped to the principal square root or its negative value. You can get around this by defining the domain as the non-negative real numbers, R0+, and the codomain as either the same or the non-positive real numbers.
