Math Problem Statement
Solution
The question in the image asks whether the given curve represents the graph of a function. The graph shows a straight line in a coordinate system that slants downwards from the -axis to the -axis.
To determine if the curve represents a function, we can apply the vertical line test: if a vertical line drawn at any point on the graph intersects the curve at only one point, the curve is the graph of a function.
In this case, since the graph is a straight line and a vertical line would only intersect it at one point no matter where it is drawn, the curve is the graph of a function.
The correct answer is "Ja" (Yes).
Would you like more details or have any other questions?
Here are 5 related questions to further explore:
- What is the vertical line test and how does it help identify functions?
- How would you define a function in terms of inputs and outputs?
- Can a horizontal line represent a function? Why or why not?
- What are some examples of curves that do not represent functions?
- How does the slope of a line affect whether it represents a function?
Tip: Always apply the vertical line test when unsure if a graph represents a function!
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Math Problem Analysis
Mathematical Concepts
Functions
Coordinate Systems
Formulas
-
Theorems
Vertical Line Test
Suitable Grade Level
Grades 6-8