Math Problem Statement

What is the value of f(-3)?

Solution

To determine the value of f(3)f(-3), we need to locate the point on the graph where x=3x = -3.

Looking at the graph:

  1. Go to the xx-axis at x=3x = -3.
  2. Move vertically to the point on the graph at that xx-coordinate.

From observation, the point on the graph at x=3x = -3 appears to be at y=2y = 2.

Therefore, the value of f(3)f(-3) is: f(3)=2f(-3) = 2

Would you like a detailed explanation of how to read function values from graphs?

Here are some related questions to explore this topic further:

  1. How would you find f(0)f(0) from this graph?
  2. What does it mean if the graph crosses the xx-axis?
  3. How can you tell if a function is increasing or decreasing in a specific interval?
  4. What is the maximum value of this function over the visible range?
  5. How would you find the value of f(4)f(4) from this graph?

Tip: When finding values from a graph, always start by locating the xx-coordinate and then move vertically to the function's curve to read the corresponding yy-value.

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Math Problem Analysis

Mathematical Concepts

Graph Reading
Function Evaluation

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8