How do you find the domain and range and determine whether the relation is a function given :#y=3x#?

Question

Ethan Adkins · Accepted Answer

Domain: #x in RR#
Range: #y in RR# To find the domain, we look at where the function is defined with real numbers. In this case, all values are defined, so we get a domain of all real numbers, #RR#. The range is also pretty straight forward. Since the function goes from #-oo# to #oo# and it is continuous, we know that all real numbers are represented on the graph, so the range must also be all real numbers, #RR#.

Ethan Adkins · Answer

undefined To find the domain and range of the relation $ y = 3x $ and determine whether it is a function:

**Domain:** The domain of the relation is all real numbers since there are no restrictions on the input $ x $ that would make the relation undefined.

**Range:** The range of the relation is also all real numbers because for every real number $ x $, there is a corresponding real number $ y $ determined by the equation $ y = 3x $.

**Function:** The relation $ y = 3x $ is a function because for every input $ x $, there is exactly one output $ y $. Each input $ x $ corresponds to a unique output $ y $, satisfying the definition of a function.