Graphs of absolute value functions  Functions and their graphs  Algebra II  Khan Academy  Summary and Q&A
Graphs of absolute value functions  Functions and their graphs  Algebra II  Khan Academy
TL;DR
Learn how to graph absolute value functions and identify their key features.
Questions & Answers
Q: What is the maximum value of the function f(x)?
The maximum value occurs at x = 1, where f(x) is equal to 9.
Q: How does the coefficient affect the shape of the graph?
The negative coefficient causes the graph to be downward opening.
Q: How can the function be divided into two parts?
The function can be divided into one part for x > 1 and another part for x < 1.
Q: What are the endpoints for the given constrained domain?
The endpoints are f(4) and f(5), which need to be evaluated to complete the graph.
Summary & Key Takeaways

The given absolute value function is f(x) = 3x  1 + 9, with a constrained domain of 4 ≤ x ≤ 5.

The maximum value of the function occurs at x = 1, where f(x) = 9.

The graph of the function is downward opening due to the negative coefficient.

The function can be divided into two parts: to the left of the vertex (x < 1) and to the right of the vertex (x > 1).
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