Tell whether each graph is a function and justify your answer. Which graph is not a good representation of a real-world situation? Explain.
Graph A is a function because corresponds one.
Answer options:
– there is an x-value that
– there is a y-value that
– each y-value
– each x-value
To determine whether a graph represents a function, we can use the vertical line test, which states that if a vertical line intersects the graph at more than one point, it is not a function.
In your statement about Graph A, the phrase “each x-value” should be used to complete the thought: “Graph A is a function because each x-value corresponds to one y-value.” This means that for every x-coordinate, there is only one y-coordinate assigned, satisfying the definition of a function.
For the second part of your question, a graph that does not represent a good real-world situation often shows unrealistic relationships, such as a function where multiple outputs correspond to a single input (which violates the function rule). An example might be a graph that shows two heights for the same age, which is not realistic since an individual has only one height at a specific time.
If you have specific graphs in mind, I can help you analyze them!