Question

Given that the domain is all real numbers, what is the limit of the range for the function ƒ(x) = 42x - 100?

Answer 1

This function has a straight line graph and thus has no limit on the range.  

Answer 2

R = (-∞,∞)

Explanation:

The given function is

`f(x)=42x-100`

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

`f(x)=mx+b`

Where
`m` is the slope and
`b` is the y-intercept, which in this case are

`m=42` and
`b=-100`.

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 = (-∞,∞)