- #1
okunyg
- 17
- 0
I'm sorry for this, but what is the range and domain of the following function?
y = 24 - 2x
y has to be positive (y > 0) and x too (x > 0)
How would you solve this? Do you just need a look and then be able to write it down? Or do you need to solve it with algebra?
I've found that x can only be up to 12, or else y would be negative:
y = 24 - 2x
0 = 24 - 2x
x = 12
What is then the minimum of x?
2x = 24 - y
0 = 24 - y
y = 24
When y is 24, x is zero.
This means:
0 < x < 12
With these values, y is always positive, we have solved the domain of the function.
Is this correct?
y = 24 - 2x
y has to be positive (y > 0) and x too (x > 0)
How would you solve this? Do you just need a look and then be able to write it down? Or do you need to solve it with algebra?
I've found that x can only be up to 12, or else y would be negative:
y = 24 - 2x
0 = 24 - 2x
x = 12
What is then the minimum of x?
2x = 24 - y
0 = 24 - y
y = 24
When y is 24, x is zero.
This means:
0 < x < 12
With these values, y is always positive, we have solved the domain of the function.
Is this correct?
Last edited: