Final Answer:
f(2) = 3 - 2² = -1
Step-by-step explanation:
To find the value of f(2) for the function f = 3 - x², we substitute x = 2 into the expression.
f(2) = 3 - 2² = 3 - 4 = -1
Therefore, f(2) = -1. This indicates that when x is equal to 2, the corresponding value of the function f is -1.
Analyzing the graph of the function f = 3 - x² provides a visual confirmation of this result. At x = 2, the corresponding y-coordinate on the graph is indeed -1. The graph visually represents the behavior of the function and allows us to quickly assess the value of f(2) without extensive calculations. This connection between the algebraic expression and the graphical representation is fundamental in understanding and interpreting mathematical functions. In summary, the direct calculation and graphical observation both confirm that f(2) = -1.