Math Problem Statement

The graph of y, equals, f, of, xy=f(x) is shown below. According to the graph, what is f, of, 4f(4)?

Solution

To find f(4)f(4) using the graph, you should:

  1. Locate the point on the graph where x=4x = 4.
  2. Determine the corresponding yy-coordinate. This yy-value is f(4)f(4).

Let's say, for example, that the graph shows that when x=4x = 4, the yy-coordinate is 3. This means that f(4)=3f(4) = 3.

Thus, if f(4)=3f(4) = 3, the answer to f(4)f(4) is 3.

To solve the problem specifically, you'd need to examine the graph for the precise point at x=4x = 4. Would you like to go over how to interpret graphs in more detail?

Relative Questions:

  1. What is the significance of the xx-coordinate in determining f(x)f(x) on a graph?
  2. How do you find the value of a function from its graph?
  3. What are common mistakes when reading function values from graphs?
  4. How does the slope of the graph at x=4x = 4 influence f(4)f(4)?
  5. How can you use the graph to estimate values not explicitly shown on it?

Tip:

When analyzing graphs of functions, always ensure you understand the scale and units on both axes, as they can significantly impact your interpretation of the function's values.

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Math Problem Analysis

Mathematical Concepts

Graphing functions
Function values

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9