Final Answer:
The value of the function k(n) = n² – 3n when n = 1 is 1, as substituting 1 for n results in k(1) = 1² – 3(1) = 1.Thus the correct option is:c) k(1) = 1
Step-by-step explanation:
The function k(n) = n² – 3n when n = 1 can be evaluated by substituting 1 for n in the expression. Plugging in the value, we get k(1) = (1)² – 3(1) = 1 – 3 = -2. Therefore, the correct answer is (a) k(1) = -2.
The detailed explanation is as follows:
The function k(n) represents a quadratic expression, where n is the variable. To find the value of k(1), we substitute 1 for n in the expression: k(1) = (1)² – 3(1). Simplifying the expression gives us k(1) = 1 – 3 = -2. Therefore, the correct answer is (a) k(1) = -2.
In the context of the quadratic function, this result indicates that when n is equal to 1, the output (k(1)) is -2. This implies that the function has a downward-facing parabolic shape, reaching its minimum value at n = 1.
It's crucial to understand the nature of quadratic functions and how changes in the variable n affect the output. In this specific case, evaluating k(1) provides insight into the behavior of the function at that particular point, helping us conclude that the correct answer is (a) k(1) = -2.Thus the correct option is:c) k(1) = 1