Math Problem Statement

Find the value of f(-6) from the graph.

Solution

To find f(6)f(-6) using the graph provided:

  1. Look for the point where x=6x = -6 on the horizontal axis (x-axis).
  2. Find the corresponding yy-value on the curve of the function at that point.

From the graph, at x=6x = -6, the point appears to be at y=2y = 2.

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

Would you like any further details on this problem? Here are five related questions you might find helpful:

  1. How do we find f(x)f(x) for other values of xx using a graph?
  2. What is the domain and range of this function based on the graph?
  3. How can we tell if this function is increasing or decreasing at specific intervals?
  4. What is the significance of the turning points (local maxima and minima) on this graph?
  5. How can you determine if a function is continuous based on its graph?

Tip: When interpreting graphs, always pay attention to key features like intercepts, turning points, and asymptotes!

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Math Problem Analysis

Mathematical Concepts

Graph interpretation
Function evaluation

Formulas

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Theorems

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Suitable Grade Level

Grades 8-10