First of all, A function [tex]f[/tex] from a set [tex]A[/tex] to a set [tex]B[/tex] is a relation that assigns to each element [tex]x[/tex] in the set [tex]A[/tex] exactly one element in the set [/tex]B[/tex]. The set [tex]A[/tex] is the domain (or set of inputs) of the function and the set [tex]B[/tex] contains the range (or set of outputs).
First.
[tex]f(x)=-7x[/tex]
The graph of this equation is shown in Figure 1. As you can see this is a straight line with negative slope and does not intersect the y-axis.
So the statement that best describes this problem is:
Both the domain and the range is the set of all real numbers.
Second
[tex]g(x)=7x[/tex]
The graph of this equation is shown in Figure 2.This is also a straight line but it has positive slope. This one does not intersect the y-axis either.
So the statement that best describes this problem is:
Both the domain and the range is the set of all real numbers.
