Question

the graphs are shown below. click on the tabs to see them. graph 1 graph 2 graph 3 graph 4 graph 5 graph 6 choose the box corresponding to each graph that represents a function. graph 1 graph 2 graph 3 graph 4 graph 5 graph 6 none of the graphs

Explanation:

Step1: Recall Function Definition

A function is a relation where each input (x - value) has exactly one output (y - value). We use the Vertical Line Test: if any vertical line intersects the graph more than once, it is not a function.

Step2: Analyze Each Graph (Assuming Visuals)

• Graph 1: Check vertical lines. If it fails the Vertical Line Test (e.g., a vertical line intersects twice), not a function.
• Graph 2: Similarly, if vertical line intersects more than once, not a function.
• Graph 3: If vertical line intersects more than once, not a function.
• Graph 4: If vertical line intersects more than once, not a function.
• Graph 5: Passes Vertical Line Test (each x has one y), so it is a function.
• Graph 6: If it fails or passes, but from the selection, Graph 5 is chosen.
• "None of the graphs" is incorrect as Graph 5 is a function.

Answer:

Graph 5 (the option corresponding to Graph 5 in the multiple - choice list)