The range of y = x² - 2x for the given domain is {0, 15}.
What is the range of a function?
Certainly! Let's calculate the corresponding y values for the given domain {-3, 0, 5} using the equation y = x² - 2x:
1. For x = -3:
y = (-3)² - 2(-3) = 9 + 6 = 15
2. For x = 0:
y = (0)² - 2(0) = 0
3. For x = 5:
y = (5)² - 2(5) = 25 - 10 = 15
Now, we have the corresponding y values for the given domain:
{-3, 0, 5} => {15, 0, 15}
Therefore, the range of the given function is determined as {0, 15}.