Math Problem Statement

Find the value of f(-3) using the graph of y = f(x).

Solution

The graph shows the function y=f(x)y = f(x). To find f(3)f(-3), locate the point where x=3x = -3 on the graph, then read the corresponding yy-value.

From the graph, when x=3x = -3, the corresponding yy-value is 5. Therefore, f(3)=5f(-3) = 5.

Would you like further details or explanations?

Here are 5 related questions:

  1. What is f(0)f(0) based on the graph?
  2. How do you interpret f(2)f(2) using the same method?
  3. How can you determine where the function has a maximum or minimum value?
  4. Can you describe how the function behaves for large values of xx?
  5. What is the significance of the x-intercepts in this graph?

Tip: When interpreting graphs, always ensure you identify the corresponding x- and y-values carefully to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Graph Reading
Functions

Formulas

No specific formulas are required, just graph interpretation.

Theorems

None

Suitable Grade Level

Grades 6-8