Question

What is the range of the function f (x) = x3 - 22 - x when the domain is {1, 2, 3}

A {1, 2, 15)
B {1, 2, 3}
C {-1, 2, 15)
D {-3, -2, -1}

Answer 1

The range of the function f(x) = x^3 - x^2 - x for the domain {1, 2, 3} is solved by substituting each domain value into the function, resulting in the range being {-1, 2, 15}.

Step-by-step explanation:

The range of a function represents the set of all possible output values it can produce. To find the range of the function f(x) = x3 - x2 - x when the domain is {1, 2, 3}, we calculate the function's values at each of the domain values.

• For x = 1: f(1) = 13 - 12 - 1 = 1 - 1 - 1 = -1
• For x = 2: f(2) = 23 - 22 - 2 = 8 - 4 - 2 = 2
• For x = 3: f(3) = 33 - 32 - 3 = 27 - 9 - 3 = 15

Therefore, the range of the function over the given domain is {-1, 2, 15}.