Math Problem Statement

Find the value of f(-2) based on the graph of y = f(x).

Solution

To find the value of f(2)f(-2) from the graph:

  1. Locate x=2x = -2 on the xx-axis.
  2. Move vertically to the point on the curve where x=2x = -2.
  3. Observe the yy-coordinate of this point, which represents f(2)f(-2).

From the graph, when x=2x = -2, the corresponding yy-value on the curve y=f(x)y = f(x) is y=5y = 5.

Answer:

f(2)=5f(-2) = 5

Would you like further details on this solution or have any questions?

Here are some related questions to deepen understanding:

  1. What is the value of f(2)f(2) based on this graph?
  2. How can you determine if the function f(x)f(x) is even or odd by examining the graph?
  3. What is the minimum value of f(x)f(x) on this graph?
  4. How would you describe the symmetry of the function f(x)f(x) shown?
  5. At what points does f(x)=0f(x) = 0 on this graph?

Tip: When finding f(x)f(x) values from a graph, always look for the yy-coordinate corresponding to the given xx-value.

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Math Problem Analysis

Mathematical Concepts

Functions
Graph Analysis

Formulas

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Theorems

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Suitable Grade Level

Grades 7-8