Answer:
Step-by-step explanation:
The given function is
[tex]f(x)=42x-100[/tex]
As you can notice, it's a linear function, and it's written in slope-intercept form. So, from this expression we can deduct that the slope is 42 and the y-intercept is at -100. We deduct this information, because of the form
[tex]f(x)=mx+b[/tex]
Where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept, which in this case are
[tex]m=42[/tex] and [tex]b=-100[/tex].
An important characteristic of linear function is that they domain and range sets are always all real numbers, the function is not restricted.
Therefore, the range of the given function is
R = (-∞,∞)
