Math Problem Statement
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 has exactly one corresponding value of . 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:
- What is the slope of the line in this graph?
- How can you determine if a graph is a function using the vertical line test?
- What is the equation of the line represented in the graph?
- What are some examples of graphs that do not represent functions?
- 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