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What could be an example of a function with a domain and a range where a is greater than 0 and b is greater than 0?
Wiki User
∙ 8y ago
f(x) = (x)^ (1/2)
(i.e. the square root of x)
Wiki User
∙ 8y ago
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How do you find the domain of an equation?
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.
What is the domain of every quadratic function?
The domain is whatever you want it to be. In the absence of a domain being defined explicitly, it is taken to be the whole of the real line.
What are the domain range and asymptote of h(x) (1.4)x 5?
The question cannot be answered for two reasons. The first is that, thanks to the inadequacies of the browser that you are required to use, most mathematical symbols are lost and o we cannot tell what the function is meant to be.Second, the domain and range of any function are interdependent but indeterminate. You can define one of them and the other is determined. For example, whatever the above function, you could choose to have the domain as positive integer values of x. Only. The range would then be determined.
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. -- 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 is the equation of a nonlinear graph if a is greater than 5?
There are infinitely many options. The equation could be a polynomial of degree greater than 1, or it could be a power function, a log function or any combination of these with trig functions. The problem is exacerbated by the fact that there is no clue in the question as to what a stands for.
Would the domain be something other than all real numbers provide an example?
It could be a subset: for example, for the function y = log(x), the domain is x > 0. There are many functions whose domain is the complex plane.
Domain and range?
In algebra, the domain consists of all possible values for the x variable that could make the function work. The range is all of the possible values of the function, using each number in the domain.
How do you find the domain of an equation?
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.
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).
What is the domain of every quadratic function?
The domain is whatever you want it to be. In the absence of a domain being defined explicitly, it is taken to be the whole of the real line.
What are the domain range and asymptote of h(x) (1.4)x 5?
The question cannot be answered for two reasons. The first is that, thanks to the inadequacies of the browser that you are required to use, most mathematical symbols are lost and o we cannot tell what the function is meant to be.Second, the domain and range of any function are interdependent but indeterminate. You can define one of them and the other is determined. For example, whatever the above function, you could choose to have the domain as positive integer values of x. Only. The range would then be determined.
What is the domain of 3x plus 7?
Any domain that you like. It can be the counting numbers, integers, rationals, reals or complex numbers. Or it can be a subset of any of them. For example, the domain could be {-2, 7, 3.56}.
How do you find the domain and range of f of x equals x squared minus 3x minus 10?
The domain is what you choose it to be. You could, for example, choose the domain to be [3, 6.5] If the domain is the real numbers, the range is [-12.25, ∞).
Can the domain be all real numbers except 0 or only all the real numbers?
It could be either depending on the function that you have.
How do you find the domain and range of log5x and y5x?
The domain is the set of values that x may take that gives back an answer that makes sense. The range is the set of values that are possible results of the function. the "log" function does not accept 0 or negative values on its domain and returns negative, zero and positive numbers (ie all real values). The next function does not appear properly but you could figure it out
Why can't the range of a function ever be equal to zero?
It most certainly can. In fact it can be quite a useful function. If you want to suppress one function, f(x), over part of its domain you could define another function, g(x) that is equal to zero over that part of the domain and then study the function: h(x) = f(x)*g(x) where both are defined = f(x) otherwise. You may want to do this if f(x) is ill-behaved over a part of its domain.
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. -- 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......
