Final answer:
The values of the function f(x) = x^2 + 2 for the given points are f(-1) = 3, f(0) = 2, and f(2) = 6. This is found by substituting the x-values into the function and doing the arithmetic.
Step-by-step explanation:
In the context of the provided sample information, the task the student is faced with involves finding the value of a given function f(x) at specific points. When dealing with functions, particularly quadratic functions like the one provided, one can simply substitute the x-values into the equation to find the corresponding y-values, which are the outputs of the function, f(x). The given function is a simple quadratic function described by f(x) = x^2 + 2.
- (a) f(-1): To find the value of f(x) when x is -1, we substitute -1 for x in the function: f(-1) = (-1)^2 + 2 = 1 + 2 = 3.
- (b) f(0): To find f(x) when x is 0, we substitute 0 into the function: f(0) = 0^2 + 2 = 0 + 2 = 2.
- (c) f(2): When x is 2, we substitute 2 into the function: f(2) = 2^2 + 2 = 4 + 2 = 6.
The provided details regarding constants and quadratic equation solutions do not apply to our current function, as it does not need solving in the sense of a quadratic equation. It simply requires the substitution of values into the quadratic function to determine the corresponding outputs.