Math Problem Statement

Does the graph represent a function? NoYes

Does the graph represent a function? NoYes

Solution

Yes, the graph represents a function.

Here’s why:
A graph represents a function if every value of xx has exactly one corresponding value of yy. This means that the graph should pass the vertical line test—if you draw a vertical line anywhere on the graph, it should intersect the graph at most once. In this case, the line shown in the graph passes this test, so it is a function.

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Related Questions:

  1. What is the slope of the line in this graph?
  2. How can you determine if a graph is a function using the vertical line test?
  3. What is the equation of the line represented in the graph?
  4. What are some examples of graphs that do not represent functions?
  5. How does the slope of the line relate to the coordinates given on the graph?

Tip:

When checking if a graph represents a function, always test with a vertical line. If any vertical line intersects the graph at more than one point, it is not a function.

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Math Problem Analysis

Mathematical Concepts

Functions
Graph Analysis
Vertical Line Test

Formulas

Slope formula: (y2 - y1) / (x2 - x1)

Theorems

Vertical Line Test

Suitable Grade Level

Grades 8-10