Gen Math Plot the following on a Cartesian plane. Do the vertical line test and tell whether it is a function or not 1.f=(1, 0),(3,-3), (5,0), (1,-5 )2.f=(6, 8), (4,8), (-5, 8), (4,-8), (-2,8), (0,-4)Pahel ako guys need lang mamaya
Answer (1)
Answer: 1. f = (1, 0), (3, -3), (5, 0), (1, -5) - Plotting the points: - (1, 0) - Go right 1 unit, up 0 units- (3, -3) - Go right 3 units, down 3 units- (5, 0) - Go right 5 units, up 0 units- (1, -5) - Go right 1 unit, down 5 units- Vertical Line Test: Imagine drawing vertical lines through the plotted points. If any vertical line intersects the graph at more than one point, it's not a function. In this case, a vertical line drawn through x = 1 would intersect the points (1, 0) and (1, -5).- Conclusion: This relation is not a function because it fails the vertical line test. 2. f = (6, 8), (4, 8), (-5, 8), (4, -8), (-2, 8), (0, -4) - Plotting the points: - (6, 8) - Go right 6 units, up 8 units- (4, 8) - Go right 4 units, up 8 units- (-5, 8) - Go left 5 units, up 8 units- (4, -8) - Go right 4 units, down 8 units- (-2, 8) - Go left 2 units, up 8 units- (0, -4) - Go right 0 units, down 4 units- Vertical Line Test: Imagine drawing vertical lines through the plotted points. If any vertical line intersects the graph at more than one point, it's not a function. In this case, a vertical line drawn through x = 4 would intersect the points (4, 8) and (4, -8).- Conclusion: This relation is not a function because it fails the vertical line test. Key takeaway: A function must have a unique output (y-value) for every input (x-value). If a vertical line intersects a graph at more than one point, it means there are multiple outputs for the same input, violating the function definition.
