In Exercises 65–70, use the graph of f to find each indicated function value. f(-3)

Key Concepts

Function Notation

Function notation, such as f(x), is a way to represent a function and its outputs based on given inputs. In this case, f(-3) indicates that we need to find the output of the function f when the input is -3. Understanding function notation is essential for interpreting and evaluating functions correctly.

Graph Interpretation

Interpreting a graph involves analyzing the visual representation of a function to determine its values at specific points. For the question f(-3), one must locate the x-coordinate of -3 on the graph and identify the corresponding y-coordinate, which represents the function's value at that input. This skill is crucial for solving problems that require reading and extracting information from graphs.

Domain and Range

The domain of a function refers to all possible input values (x-values) for which the function is defined, while the range consists of all possible output values (y-values). Understanding the domain and range helps in determining whether the input -3 is valid for the function f and ensures that the output can be accurately found from the graph.