Math Problem Statement

Find the value of f(-1) from the graph provided.

Solution

The image shows a graph of a linear function f(x)f(x). To find f(1)f(-1), we need to determine the value of the function when x=1x = -1.

By locating x=1x = -1 on the horizontal axis and tracing up to where it intersects the blue line, we see that the corresponding yy-value is 55.

Thus, f(1)=5f(-1) = 5.

Would you like more details on how to interpret graphs, or do you have any further questions?

Here are 5 related questions to expand on this concept:

  1. How do you find the slope of a line from a graph?
  2. What is the equation of the line shown in the graph?
  3. How would you calculate f(x)f(x) for any given value of xx?
  4. What is the meaning of the y-intercept of a line?
  5. How can you determine whether a function is increasing or decreasing from a graph?

Tip: When analyzing a graph, always check for key points such as intercepts and slope to better understand the function's behavior.

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Graph Interpretation

Formulas

y = mx + b

Theorems

Slope-Intercept Form

Suitable Grade Level

Grades 7-9