Math Problem Statement

Find the value of f(4) using the graph.

Solution

To find the value of f(4)f(4) using the graph, follow these steps:

  1. The function f(x)f(x) is represented by the line on the graph.
  2. Locate x=4x = 4 on the horizontal (x) axis.
  3. From x=4x = 4, trace vertically until you reach the line representing the function.
  4. From that point, trace horizontally to the y-axis to determine the corresponding value of yy, which is f(4)f(4).

By following the graph:

  • At x=4x = 4, the corresponding yy-value (which is f(4)f(4)) appears to be -5.

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

Would you like more details or further questions? Here are 5 related questions to consider:

  1. How do you determine the slope of a line from a graph?
  2. What is the y-intercept of the function in this graph?
  3. Can you write the equation of the line based on the graph?
  4. What is f(2)f(-2) based on the graph?
  5. How do you find the x-intercept of a linear function from a graph?

Tip: The slope of a line is the ratio of the vertical change to the horizontal change between two points on the line.

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Graph Interpretation
Coordinate Geometry

Formulas

y = mx + b

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 8-10