Some functions are only defined for certain values of the argument. For example, the the logarithm is defined for positive values. The inverse function is defined for all non-zero numbers.
Sometimes the range determines the domain. If you are restricted to the real numbers, then the domain of the square root function must be the non-negative real numbers.
In this way, there are definitional domains and ranges. You can then chose any subset of the definitional domain to be your domain, and the images of all the values in the domain will be the range.
The domain of a function determines what values of x you can plug into it whereas the range of a function determines the values that are your results. Therefore, look at the y-axis if you want to determine the range of a function and look at the x-axis if you want to determine the domain.
The domain is the set of all input values, the range is the set of all output values. It is not possible to be more specific when you have not included any details of the functions.
y = 1/x
sqrt(x) Domain: {0,infinity) Range: {0,infinity) *note: the domain and range include the point zero.
x = the domain y = the co-domain and range is the output or something e_e
All functions are relations with the condition that each element of the domain is paired with only one element of the range. A relation is any pairing of numbers from the domain to the range.
The same as in any other math class. All functions are relations but all relations are not functions. A function must have only one 'answer' in the range for each value of the domain. Relations are just pairing of numbers with no such restriction on the range.
All functions are relations with the condition that each element of the domain is paired with only one element of the range. A relation is any pairing of numbers from the domain to the range.
true
True.
True.
The domain and range of the composite function depend on both of the functions that make it up.
A number does not have a range and domain, a function does.
Domain and range are used when you deal with functions - so basically you use them whenever you deal with functions.
true
The doman can extend from negative infinioty to positive infinity. Its range is from (+)1 to (-)1.
true