Math Problem Statement

Find the value of f(-3) from the graph.

Solution

To find the value of f(3)f(-3) from the graph:

  1. Look at the graph of y=f(x)y = f(x).
  2. Find the point where x=3x = -3 on the x-axis.
  3. From this point, trace upward or downward to the curve of the function.
  4. The corresponding yy-value at this point is f(3)f(-3).

By observing the graph, when x=3x = -3, the curve intersects the point y=6y = 6.

Thus, f(3)=6f(-3) = 6.

Would you like any further explanation or details on this?

Here are 5 related questions you might want to consider:

  1. What is f(0)f(0) from the graph?
  2. How would you find the maximum value of f(x)f(x) from the graph?
  3. What are the x-intercepts of the function f(x)f(x)?
  4. How do you determine if f(x)f(x) is increasing or decreasing?
  5. Can you identify any symmetry in the graph of f(x)f(x)?

Tip: When analyzing a graph, always check both the xx- and yy-coordinates carefully to ensure accuracy.

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Math Problem Analysis

Mathematical Concepts

Functions
Graphing

Formulas

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Theorems

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Suitable Grade Level

Grades 6-9