In Exercises 65–70, use the graph of f to find each indicated function value. f(-3)
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
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.
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.
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.