The function y = RootIndex 3 StartRoot x EndRoot – 3 is graphed only over the domain of –8 < x < 8. What is the range of the graph? –5 < y < 5 y y y

Question

The function y = RootIndex 3 StartRoot x EndRoot – 3 is graphed only over the domain of –8 < x < 8. What is the range of the graph?

y
–5 < y < –1
y
y

Answer 1

–5 < y < - 1

Step-by-step explanation:

Answer 2

• y

Step-by-step explanation:

The graphed function is:

• 
  `y=\sqrt[3]{x}-3`

And it is graphed over the domain –8 < x < 8, which is all the real numbers greater than - 8 and less than 8.

The cube root is a continuous growing function over all the real numbers.

Thus, to find the range you can just substitute the border numbers, -8 and 8, into the function, to find the corresponding y-values.

For x = - 8:

• 
  `y = \sqrt[3]{-8}-3=-\sqrt[3]{8}-3=-2-3=-5`

For x = 8

• 
  `y=\sqrt[3]{8}-3=\sqrt[3]{8}-3=2-3=-1`

Hence, the range is y ← answer