Final answer:
By substituting -1 into the function ƒ(x) = x² − x + 1, we find that ƒ(-1) equals 3.
Step-by-step explanation:
To find the value of the function ƒ(x) when x is -1, we simply substitute -1 into the function's formula. The given function is ƒ(x) = x² − x + 1. Now let's evaluate ƒ(-1):
ƒ(-1) = (-1)² − (-1) + 1
= 1 + 1 + 1
= 3.
The result signifies that when x is -1, the function's output is 3. This mathematical expression showcases the application of the function with a specific input, a fundamental concept in algebraic analysis.
Therefore, the correct answer is A. 3.