Question

The function y=3/-x-3 is graphed only over the domain of{x|-8

Answer 1

Full Question:

The function
`y =\sqrt[3]{-x} - 3` is graphed only over the domain of –8 < x < 8. what is the range of the graph?

Answer:

`-5 < y < -1`

Explanation:

Given

Function:
`y =\sqrt[3]{-x} - 3`

Range: x

Required

Find the range of the graph

To calculate the range of the graph; we simply substitute the value of x (the domain) at both ends to the given function;

In other words, solve for y when x = -8 and when x = 8

To start with;

When x = -8

`y =\sqrt[3]{-x} - 3`

`y =\sqrt[3]{-(-8)} - 3}`

`y =\sqrt[3]{8} - 3}`

`y =2 - 3`

`y = -1`

When x = 8

`y =\sqrt[3]{-8} - 3`

`y =-2 - 3`

`y = -5`

Converting both values of y to inequalities

`-5 < y < -1`

Hence, the range of the graph is
`-5 < y < -1`