Question

How do you find the range of `y = 3x + 10`?

Answer 1

The range of this function is the whole of `RR` since for any value of `y` there is a value of `x` such that `y = 3x+10`

Explanation:

We can solve for `x` in terms of `y` as follows:

Subtract `10` from both sides to get:

`y - 10 = 3x`

Divide both sides by `3` to get:

`x = (y - 10)/3`

The right hand side is defined for any `y in RR`, so we can always find an `x` that yields a given value of `y`.