A function is a special type of relation that pairs each value from the domain with exactly one value from the range. This means that for every input (domain value), there is a unique output (range value). Functions are often represented as equations, graphs, or tables, ensuring that no input is associated with multiple outputs.
The domain would be (...-2,-1,0,1,2...); the range: (12)
The function ( f(x) = -x^2 + 4 ) is a downward-opening parabola. The vertex, which is the maximum point, occurs at ( x = 0 ) and gives the maximum value of ( f(0) = 4 ). As ( x ) moves away from 0 within the domain, the function decreases, reaching a minimum value at the edges of the domain. If the domain is limited to 201, the range of ( f(x) ) will be from ( -x^2 + 4 ) evaluated at the endpoints of that domain, specifically ( f(201) = -201^2 + 4 = -40400 + 4 = -40396 ). Therefore, the range of ( f(x) ) when the domain is 201 is ( [-40396, 4] ).
The domain is related to the range depending on the equation or equations given. Without this context, the domain for a Cartegian plane (2 dimensions) is simply R, or all real numbers. With a linear equation (absolute value/ dependent variation) a more useful and specific answer can be given.
y=x^2
The range is the y value like the domain is the x value as in Domain and Range.
A domain is the value of x, and range is the value of y
A function is a mapping from one set to another. It may be many-to-one or one-to-one. The first of these sets is the domain and the second set is the range. Thus, for each value x in the domain, the function allocates the value f(x) which is a value in the range. For example, if the function is f(x) = x^2 and the domain is the integers in the interval [-2, 2], then the range is the set [0, 1, 4].
Other names for Y value
What is the domain and range of absolute lxl - 5
The range of a function is the set of all of the possible values that it can take on as an output value. You find the range by inspecting the function and seeing first what the domain is, and then what the range would be for that domain. The domain, then, is the set of all of the possible values that it can take on as an input value.
The range of a set is the y value in comparison to the domain which is the x value.
The domain could be the real numbers, in which case, the range would be the non-negative real numbers.
A function is a special type of relation that pairs each value from the domain with exactly one value from the range. This means that for every input (domain value), there is a unique output (range value). Functions are often represented as equations, graphs, or tables, ensuring that no input is associated with multiple outputs.
Assuming the standard x and y axes, the range is the maximum value of y minus minimum value of y; and the domain is the maximum value of x minus minimum value of x.
The domain would be (...-2,-1,0,1,2...); the range: (12)
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.