Math Problem Statement

Figuren viser en kurve i et koordinatsystem. Er kurven graf for en funktion?

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 yy-axis to the xx-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:

  1. What is the vertical line test and how does it help identify functions?
  2. How would you define a function in terms of inputs and outputs?
  3. Can a horizontal line represent a function? Why or why not?
  4. What are some examples of curves that do not represent functions?
  5. 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

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Theorems

Vertical Line Test

Suitable Grade Level

Grades 6-8