Answer:
![(-\infty,+\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%2B%5Cinfty%29)
Step-by-step explanation:
The given function is
![y=\sqrt[3]{x+8}](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7Bx%2B8%7D)
The range refers to the values of y for which x is defined.
We solve for x to obtain;
![y^3=x+8](https://tex.z-dn.net/?f=y%5E3%3Dx%2B8)
![x=y^3-8](https://tex.z-dn.net/?f=x%3Dy%5E3-8)
This is a polynomial function in y.
x is defined for all values of y.
Therefore the range is all real numbers.
or
![(-\infty,+\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%2B%5Cinfty%29)
The first choice is correct.
Answer:
(-3, 4)
Step-by-step explanation:
First, add 3 to point B's x coordinate:
-6 + 3 = -3
Then, add 1 to the y coordinate:
3 + 1
= 4
So, the coordinates of pre image point A are (-3, 4)