Question

The graph shows a vertical translation of y=√x

4
3-
2
1+
-10-8-6-4-2₁- 2
What is the range of the translated function?
O {vly < 0)
O {vly 20}
Oyly is a natural number)
Oyly is a real number)
4

Answer 1

The range of the cubed root of x is all real numbers.

Graphically
The height of this function will start at - infinity and continue to infinity.
(look at the vertical growth of the graph. It will keep going down and will also keep growing forever)

Algebraically
Nothing will "break" this function as it is a cubed root. Thus the output (range) could be anything