What is the range of the function?

Question

Having graphed the function y = -2x + 6 with the domain -1 ≤ x ≤ 5, please answer:

What is the range for the function above?

Is the answer:  (4, 8)  ?    or is the answer:     -4 ≤ y ≤ 8   ?

Please show calculations on how to achieve the correct option - thanks!

Answer 1

Hi Paula, the range of: y = -2x + 6, with the given domain: -1 ≤ x ≤ 5, is -4 ≤ x ≤ 8.

 

We can create a table to show this:

 

x-values:   -1    0    1    2    3    4      5

 

y-values:    8    6    4    2    0    -2    -4

 

Questions?