Answer:
[tex]f(x)=x-3[/tex]
Step-by-step explanation:
First, we need to analuse the explicit form of a linear function, which is
[tex]f(x)=mx+b[/tex]
Where [tex]m[/tex] is the slope and [tex]b[/tex] is y-intercept.
Notice that the graph shows a straight line which intercepts at [tex]y=-3[/tex], that means [tex]b=-3[/tex].
So, the function that represents the graph must have a constant term of -3.
Therefore, the right answer is [tex]f(x)=x-3[/tex]
