Graphing a Basic Function | Summary and Q&A

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November 7, 2011
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Khan Academy
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Graphing a Basic Function

TL;DR

Learn how to graph the function f(x) = 5x - 4 step-by-step by sampling points from the domain.

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Questions & Answers

Q: How is the function f(x) = 5x - 4 graphed?

The function is graphed by sampling points from the domain and plotting them on a graph. The x-values are chosen as negative 2, negative 1, 0, 1, and 2. The corresponding f(x) values are calculated and plotted on the y-axis.

Q: What is the general structure of the graph?

The graph of f(x) = 5x - 4 is a straight line. By connecting the plotted points, a line is formed, indicating a linear relationship between x and f(x).

Q: How can any point from the domain be plotted on the graph?

Since the domain of the function f(x) = 5x - 4 includes all real numbers, any x-value can be chosen and its corresponding f(x) value can be calculated to plot the point on the graph.

Q: Are there any limitations to this method of graphing?

This method of graphing only provides a sample of points from the domain. It does not plot every single value. However, it is sufficient to understand the general shape and pattern of the graph.

Summary & Key Takeaways

  • The video explains how to graph the function f(x) = 5x - 4 using a simple and basic method.

  • By sampling points from the domain and plotting them on a graph, the pattern of the function can be observed.

  • Connecting the sampled points results in a straight line, representing the graph of f(x) = 5x - 4.

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