Math Problem Statement

Find f(-5) based on the given graph.

Solution

To find f(5)f(-5), we need to locate where x=5x = -5 on the graph and then find the corresponding yy-value for that point.

  1. Looking at the graph, x=5x = -5 is to the left of the origin. Following the line that passes through x=5x = -5, we see that the corresponding yy-value is located at 0.

Thus, f(5)=0f(-5) = 0.

Would you like further explanation on how to interpret these types of graphs, or do you have other questions? Here are 5 related questions you might find helpful:

  1. What is the range of the function shown in the graph?
  2. Can you identify the domain of the function?
  3. What is the value of f(0)f(0) based on the graph?
  4. How do we determine if the function is increasing or decreasing?
  5. What are the intercepts of the function?

Tip: When reading a graph, always make sure to clearly match the xx-coordinate to its corresponding yy-value, especially if the graph involves multiple segments or discontinuities.

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Math Problem Analysis

Mathematical Concepts

Functions
Graph Interpretation
Piecewise Functions

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9