📚 Topic Summary
Evaluating functions from visual representations involves interpreting graphs, tables, or charts to find the output (y-value) of a function for a given input (x-value). For a graph, locate the x-value on the x-axis, trace upwards or downwards to the function's curve, and then read the corresponding y-value on the y-axis. For tables and charts, find the input value in the appropriate column or row, and then identify the corresponding output value.
This skill is important because functions are used to model real-world phenomena. Visual representations help to quickly see relationships and patterns. Learning to read a graph or chart allows you to easily understand functional relationships without needing an equation.
🧮 Part A: Vocabulary
Match each term with its definition:
| Term |
Definition |
| 1. Domain |
A. The set of all possible output values of a function. |
| 2. Range |
B. The variable that represents the input of a function. |
| 3. Function |
C. A relation where each input has exactly one output. |
| 4. Independent Variable |
D. The set of all possible input values of a function. |
| 5. Dependent Variable |
E. The variable whose value depends on the input. |
✍️ Part B: Fill in the Blanks
Functions can be represented visually using _____, _____, and _____. When evaluating a function from a graph, find the input on the _____ axis and trace to the function's _____. The corresponding _____ value is the function's output.
🤔 Part C: Critical Thinking
Explain a real-world scenario where evaluating a function from a graph or chart would be useful. Provide a detailed example.