Math Problem Statement

Find f(6) based on the given graph of the function f(x).

Solution

The graph in the image is a function f(x)f(x), and the problem asks for the value of f(6)f(6). Let's analyze and solve this step by step:

  1. Locate x=6x = 6 on the horizontal axis.
  2. Find the corresponding yy-coordinate where the function intersects this xx-value.

From the image, we can see:

  • At x=6x = 6, the function's value appears to be 2, based on the position of the graph on the yy-axis.

Thus, f(6)=2f(6) = 2.


Would you like me to explain the process in more detail or assist further?

Here are 5 related questions for practice:

  1. How would you find f(2)f(-2) using the same graph?
  2. What is the domain of the given function f(x)f(x)?
  3. How do you determine where the function is increasing or decreasing?
  4. Can you find the range of the function from the graph?
  5. What is the slope of the line segment between x=4x = 4 and x=6x = 6?

Tip: Always ensure your eyes are aligned with the grid lines when reading values from a graph to avoid errors in estimation!

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Math Problem Analysis

Mathematical Concepts

Graph Interpretation
Functions
Coordinates

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8