Math Problem Statement

The graph of y, equals, f, of, xy=f(x) is shown below. Which point could be used to find f, of, 4f(4)?

Solution

To determine which point on the graph can be used to find f(4)f(4), you need to find the point where x=4x = 4. The corresponding yy-coordinate of this point will give you the value of f(4)f(4).

Steps:

  1. Locate the point on the graph where x=4x = 4.
  2. Identify the yy-coordinate at this point. This coordinate is the value of f(4)f(4).

So, the point on the graph that corresponds to x=4x = 4 would give you the value of f(4)f(4).

Would you like a detailed explanation on how to identify this point on a typical graph, or do you have any questions about this process?

Relative Questions:

  1. What does the graph of a function typically represent?
  2. How do you interpret the coordinates of a point on a function's graph?
  3. What are the steps to determine the value of a function at a specific point?
  4. How does one graphically interpret f(x)=yf(x) = y?
  5. What are the implications of symmetry in the graph of a function?

Tip:

When working with graphs, always start by identifying key points where xx or yy has known values, as these can often provide insights into the function's behavior.

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Math Problem Analysis

Mathematical Concepts

Functions
Graphing Functions

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12