which statement best illustrates using the vertical line test to determine if the graph below is a function…

which statement best illustrates using the vertical line test to determine if the graph below is a function of x?\nthe graph is not a function of x because the line x = 0 intersects the graph at two points.\nthe graph is a function of x because the line x = 5 does not intersect the graph.\nthe graph is not a function of x because the line y = 0 intersects the graph at two points.\nthe graph is a function of x because the line y = 5 does not intersect the graph.

which statement best illustrates using the vertical line test to determine if the graph below is a function of x?\nthe graph is not a function of x because the line x = 0 intersects the graph at two points.\nthe graph is a function of x because the line x = 5 does not intersect the graph.\nthe graph is not a function of x because the line y = 0 intersects the graph at two points.\nthe graph is a function of x because the line y = 5 does not intersect the graph.

Answer

Answer:

The graph is not a function of (x) because the line (x = 0) intersects the graph at two points.

Explanation:

Step1: Recall the vertical line test

A graph is a function of (x) if and only if every vertical line (x = a) (where (a) is in the domain of the relation) intersects the graph at most once.

Step2: Analyze each option

  • Option 1: For the vertical line (x = 0), if it intersects the graph at two points, by the vertical line test, the graph is not a function of (x).
  • Option 2: The fact that the vertical line (x = 5) does not intersect the graph is not relevant to whether the graph is a function. The vertical line test requires checking vertical lines that do intersect the graph (if any) and ensuring they intersect at most once.
  • Option 3: The line (y=0) is a horizontal line. The vertical line test uses vertical lines ((x = a)), not horizontal lines ((y = b)).
  • Option 4: The line (y = 5) is a horizontal line. The vertical line test uses vertical lines ((x=a)), not horizontal lines ((y = b)).

So, the correct statement is "The graph is not a function of (x) because the line (x = 0) intersects the graph at two points."