Math Problem Statement

The graph of y = f(x) is shown below. According to the graph, what is f(5)?

Solution

To find f(5)f(5), we need to examine the graph and look for the point where x=5x = 5 and determine the corresponding value of yy.

In the graph:

  • At x=5x = 5, the point labeled A has coordinates (5,2)(5, 2).

Thus, f(5)=2f(5) = 2.

Would you like more details on interpreting the graph or how functions work?

Here are 5 follow-up questions:

  1. How do you find the value of f(x)f(x) for any given xx from a graph?
  2. What does the function f(x)f(x) represent in relation to the graph?
  3. How would you determine f(3)f(3) from this graph?
  4. What is the general process for evaluating functions from graphs?
  5. How would you describe the behavior of this function based on its graph?

Tip: When reading graphs of functions, always look for the corresponding yy-value at the desired xx-coordinate!

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Math Problem Analysis

Mathematical Concepts

Functions
Graph Interpretation

Formulas

f(x) = y

Theorems

Function Evaluation from a Graph

Suitable Grade Level

Grades 6-8