Answers
- Top row: Yes, No, Yes
- Bottom row: No, Yes, No
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Step-by-step explanation:
If it is possible to draw a single vertical line through more than one point on the blue graph, then that graph is not a function. We consider it failing the vertical line test. Such a thing happens in the middle of the top row (graph 2). A vertical line intersects the sideways parabola at more than one point.
Recall a function is when any given input leads to exactly one output. We can't have the input x = 4 lead to both y = 1 and y = -3 at the same time for instance.
Graph 4 is another instance where we don't have a function for similar reasoning. This graph fails the vertical line test. So does graph 6.
The other graphs (1, 3, and 5) all pass the vertical line test since it's not possible to draw a single vertical line to intersect through more than one blue point.