domain is what x values you are allowed to put into an equation.
In this case there is no restrictions. x= all real numbers.
range is the output once you put these numbers in the equation.
h(x)=>all real numbers > 0 because the absolute value can not be negative.
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.
2
y=|x|/4 The range is [0 , ∞ )
The absolute value of a number is positive, so the range is always a positive real number. You are correct. The domain, that is the value before you take the absolute value, is all real numbers, but the range is always positive.
10
What is the domain and range of absolute lxl - 5
The domain could be the real numbers, in which case, the range would be the non-negative real numbers.
The domain would always be the set of all real numbers while the range depends on the sign outside the term in the absolute value and the other operations to be evaluated outside the absolute value term.
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.
2
y=|x|/4 The range is [0 , ∞ )
The range is the y value like the domain is the x value as in Domain and Range.
y = 1/x
The absolute value of a number is positive, so the range is always a positive real number. You are correct. The domain, that is the value before you take the absolute value, is all real numbers, but the range is always positive.
10
A domain is the value of x, and range is the value of y
The domain can be anything you like, from the whole of the real numbers to just a single value.