Math Problem Statement

Find the value of f(8) based on the graph of the function y = f(x).

Solution

The question asks to find the value of f(8)f(8) based on the graph of the function y=f(x)y = f(x). To solve this, we need to find the y-coordinate corresponding to x=8x = 8 on the graph.

Looking at the graph:

  1. When x=8x = 8, the graph indicates that the corresponding y-value (or f(8)f(8)) is approximately -6.

So, f(8)=6f(8) = -6.

Would you like further details or explanations? Here are five related questions to expand on this:

  1. How do you interpret the graph of a function to find values like f(x)f(x)?
  2. What is the significance of f(x)f(x) in real-world applications?
  3. Can you find f(0)f(0) using the same graph?
  4. How does the function behave as xx increases or decreases beyond the given range?
  5. What is the general shape and type of function shown in the graph?

Tip: When reading values from a graph, always ensure the coordinates line up exactly with grid points to avoid approximation errors.

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Math Problem Analysis

Mathematical Concepts

Graph Interpretation
Function Evaluation

Formulas

f(x) is the y-coordinate corresponding to a given x-value on the graph

Theorems

None

Suitable Grade Level

Grades 6-9