Question

What is the domain ofy = 4[x+2]?

Answer 1

Answer:

The domain of the function is all real numbers.

The range is of the function is all multiples of 4

Explanation:

The function given is a floor function, meaning any value between [] is rounded down to the nearest integer; therefore, the number in [] is always an integer.

Then the value of y can be written as

$y=4\times integer$

we can see here that any value of y we get is always a multiple of 4; therefore, the range of the function is all multiples of 4.