Answer:
Graph Function?
Graph 1 No
Graph 2 No
Graph 3 Yes
Graph 4 Yes
Graph 5 No
Graph 6 No
Explanation:
For a graph to represent a function, for a single value of x there can be one and only one value of y
When examining the graph of a function, use the vertical line test to see if the graph represents a function.
Vertical Line Test
The vertical line test is helpful to find if the given equation represents a function or not. The vertical line test states that a vertical line needs to cuts the graph of a function(equation) at only one point, for it to represent a function. If the graph of the equation represented in the coordinate axis, is cut by the vertical line at more than one point, then the graph is not a function.
Determine whether a curve in the plane represents the graph of a function by visually examining the number of intersections of the curve with vertical lines. and, as a result, any vertical line in the plane can intersect the graph of a function at most once.
For the given graphs, here are the results of the vertical line test
Graph # Vertical Line Test Result
Graph 1 Fails
Graph 2 Fails
Graph 3 Succeeds
Graph 4 Succeeds (vertical line intersects only one point)
Graph 5 Fails
Graph 6 Fails (vertical line through x =1 intersects 2 points)