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Can any two elements in domain have same range values in range set?
Wiki User
∙ 9y ago
Yes. In fact, all the elements of an infinitely large domain can have the same value from the range set. The horizontal line,
y = 3 for all real x,
is an example of this extreme case.
Wiki User
∙ 9y ago
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What is the difference between domain and range in math?
Domain is the spectrum of values on the x-axis. Domain will be which x-values can be plugged into that equation and give an answer. Range is the same thing, but y-values. On the graph it will be the y-values that are included in the graph.
What is the domain and range of y equals x?
The domain of a function represents the set of x values and the range represents the set of y values. Since y=x, the domain is the same as the range. In this case, they both are the set of all real numbers.
Which relation are function relation?
A relation is a mapping between two sets, a domain and a range. A function is a relationship which allocates, to each element of the domain, exactly one element of the range although several elements of the domain may be mapped to the same element in the range.
What happens to the range as the domain increases and decreases?
The range may increase or decrease with the domain or it may remain the same.
What is the domain and range of y equals the square root of x?
Domain is greater than or equal to zero. same with range
What is the difference between domain and range in math?
Domain is the spectrum of values on the x-axis. Domain will be which x-values can be plugged into that equation and give an answer. Range is the same thing, but y-values. On the graph it will be the y-values that are included in the graph.
What is the domain and range of y equals x?
The domain of a function represents the set of x values and the range represents the set of y values. Since y=x, the domain is the same as the range. In this case, they both are the set of all real numbers.
Which relation are function relation?
A relation is a mapping between two sets, a domain and a range. A function is a relationship which allocates, to each element of the domain, exactly one element of the range although several elements of the domain may be mapped to the same element in the range.
How would you use domain and range to determine whether a relation is a function?
Each element in the domain must be mapped to one and only one element in the range. If that condition is satisfied then the mapping (or relationship) is a function. Different elements in the domain can be mapped to the same element in the range. Some elements in the range may not have any elements from the domain mapped to them. These do not matter for the mapping to be a function. They do matter in terms of the function having an inverse, but that is an entirely different matter. As an illustration, consider the mapping from the domain [-10, 10] to the range [-10, 100] with the mapping defined by y = x2.
Is it possible for two elements of the range to be paired with the same value of the domain in a one to one function?
True. In order for a function to be one-to-one, no two elements of the range may be paired with the same value of the domain. One-to-one means that each value of the range will generate a distinct value of the domain and, if the process is reversed, each value of the domain will generate the same distinct value of the range.In particular, polynomials with degree higher than one (linear) are not one-to-one unless there are no minimums or maximums, i.e. the second derivative never changes sign.
What happens to the range as the domain increases and decreases?
The range may increase or decrease with the domain or it may remain the same.
Name a function where each domain element is mapped to the same range element?
What is a function where each domain element is mapped to the same range element.
If a domain repeatable in function then this is not afuntion and if the range repeat then this is a function why?
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.
What is the domain and range of y equals the square root of x?
Domain is greater than or equal to zero. same with range
How do you determined if a relation is a function?
For every element on the domain, the relationship must allocate a unique element in the codomain (range). Many elements in the domain can be mapped to the same element in the codomain but not the other way around. Such a relationship is a function.
What is the domain and range of y equals cubed square root of x?
The simplest answer is that the domain is all non-negative real numbers and the range is the same. However, it is possible to define the domain as all real numbers and the range as the complex numbers. Or both of them as the set of complex numbers. Or the domain as perfect squares and the range as non-negative perfect cubes. Or domain = {4, pi} and range = {8, pi3/2} Essentially, you can define the domain as you like and the definition of the range will follow or, conversely, define the range and the domain definition will follow,
The graph of a function never has two different points with the same x-coordinate because?
Answer this question… each input value is mapped to a single output value. Apex
