Find the value of f(-6).

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Understand the Problem

The question is asking for the value of the function f at x = -6 by analyzing the provided graph of the function. To solve it, we will locate the point on the graph where x is -6 and read the corresponding y-value.

Answer

The value of $f(-6)$ is $-3$.
Answer for screen readers

The value of $f(-6)$ is $-3$.

Steps to Solve

  1. Locate x = -6 on the graph Find the vertical line where $x = -6$. This means you will look for the point on the graph where the x-coordinate is -6.

  2. Find the corresponding y-value From the graph, trace vertically from $x = -6$ to see where it intersects the curve of the function.

  3. Read the y-value Once you identify the intersection point, read the y-coordinate at this point. This value represents $f(-6)$.

The value of $f(-6)$ is $-3$.

More Information

This function appears to be a quadratic function, which generally has a parabolic shape. The y-value at $x = -6$ indicates where the function's output is negative, specifically at $-3$.

Tips

  • Misreading the graph: Ensure you are accurately finding the intersection point. Take your time when tracing the line.
  • Forgetting the sign of the y-value: Remember to check if the y-value is positive or negative based on the graph location.

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