Question

"What is the range of the function

f(x) = (x - 1)2 when the domain is {-5, 0,5}
A. {1, 16, 36}
B. {1, 24}
C. {1, 26}
D. {-12, -2,8}

Answer 1

The range of the function f(x) = (x - 1)² for the domain {-5, 0, 5} is calculated by substituting each domain value into the function to obtain the set {1, 16, 36}.

Step-by-step explanation:

The given function is f(x) = (x - 1)², and we need to find its range for the domain {-5, 0, 5}. To find the range, we substitute each value of the domain into the function and calculate the corresponding output.

• For x = -5, f(x) = (-5 - 1)² = (-6)² = 36
• For x = 0, f(x) = (0 - 1)² = (-1)² = 1
• For x = 5, f(x) = (5 - 1)² = (4)² = 16

Therefore, the range of the function for the given domain is {1, 16, 36}.