Table of contents
- 0. Review of Algebra4h 16m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 6m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 19m
- 10. Combinatorics & Probability1h 45m
3. Functions
Intro to Functions & Their Graphs
1:38 minutes
Problem 65b
Textbook Question
Textbook QuestionIn Exercises 65–70, use the graph of f to find each indicated function value.
f(-2)
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Function Value
The function value, denoted as f(x), represents the output of a function for a given input x. In this context, finding f(-2) means determining the y-coordinate of the graph at x = -2. This is essential for understanding how to evaluate functions graphically.
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Graph Interpretation
Interpreting a graph involves analyzing the plotted points and curves to extract information about the function. This includes identifying key features such as intercepts, slopes, and specific function values at given x-coordinates, which is crucial for answering the question about f(-2).
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Graphs and Coordinates - Example
Coordinate System
A coordinate system provides a framework for locating points in a plane using pairs of numbers (x, y). In this case, the x-axis represents the input values, while the y-axis represents the output values of the function. Understanding this system is vital for accurately reading the graph and finding the desired function value.
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