Math Problem Statement

Find the value of f(4) from the graph of y = f(x).

Solution

To find the value of f(4)f(4) from the graph of y=f(x)y = f(x), we need to locate the point on the graph where x=4x = 4 and determine the corresponding yy-value.

  1. On the xx-axis, go to x=4x = 4.
  2. From x=4x = 4, move vertically until you reach the curve.
  3. At x=4x = 4, the graph intersects at y=5y = 5.

Therefore, f(4)=5f(4) = 5.

Would you like more details or have any questions?

Here are some related questions:

  1. How can you determine other values of f(x)f(x) from this graph?
  2. What does the maximum point on this graph represent for f(x)f(x)?
  3. How would you find f(2)f(2) using the graph?
  4. What can be inferred about the symmetry of the graph of f(x)f(x)?
  5. How would you determine if f(x)f(x) is increasing or decreasing on certain intervals?

Tip: When evaluating a function from a graph, always locate the given xx-value on the horizontal axis and then find where it intersects with the curve to identify the yy-value.

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Math Problem Analysis

Mathematical Concepts

Function Evaluation
Graph Interpretation

Formulas

f(x) represents the output value of function f for input x

Theorems

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Suitable Grade Level

Grades 7-9