100 Examples of sentences containing the noun "asymptote"

Definition

An asymptote is a line that a curve approaches as it heads towards infinity. In mathematics, it represents a value that a function approaches but never reaches. Asymptotes can be horizontal, vertical, or oblique, depending on the behavior of the function.

Synonyms

• Limit line
• Boundary line
• Curve approach line

Antonyms

• Intersection
• Convergence
• Encounter

Examples

1. The graph of the function will asymptote to the x-axis.
2. As x approaches infinity, the curve will asymptote towards the horizontal line.
3. The vertical line acts as an asymptote that the graph will never cross.
4. In this scenario, we can see how the function will asymptote at y = 5.
5. The mathematician explained how the hyperbola would asymptote to both axes.
6. As we draw the graph, it becomes clear that it will asymptote at certain points.
7. The behavior of the function indicates that it will asymptote to this value.
8. We need to determine where the function will asymptote as x approaches negative infinity.
9. The curve seems to asymptote more closely with each iteration of the function.
10. If we extend the graph, it will eventually asymptote to the line y = 3.
11. The software can help us visualize how the function will asymptote over time.
12. As the value of x increases, the function appears to asymptote.
13. This particular function will asymptote at different rates based on its coefficients.
14. The visual representation shows how the curve will asymptote to the axis.
15. We found that the curve does indeed asymptote to the given line.
16. As we calculated the limits, we noted where it would asymptote.
17. The equation suggests it will asymptote toward a specific point.
18. When graphed, the function will clearly asymptote on both sides.
19. The concept of an asymptote is critical in understanding limits.
20. Observing the function, one can see it asymptote without actually touching the line.
21. The teacher asked us to plot where the function would asymptote.
22. In calculus, we often discuss how functions will asymptote at infinity.
23. The graph displayed how the two curves would asymptote each other.
24. It's fascinating to see how the curve will asymptote as we zoom in.
25. Understanding where to asymptote is key in curve sketching.
26. The function can be analyzed to determine where it will asymptote.
27. As we derived the formula, we realized it would asymptote at that value.
28. The limit theorem shows how we can asymptote to infinity.
29. In this case, the curve will asymptote rather than intersect.
30. The mathematician illustrated how the graph would asymptote to the line.
31. The limit of the function as x approaches the value is where it will asymptote.
32. The software used allowed us to predict where the curve would asymptote.
33. In the analysis, we noted that it would asymptote at the point of interest.
34. As the value approaches zero, the graph will asymptote.
35. The discussion included how exponential functions tend to asymptote.
36. The students were asked to find where the function would asymptote.
37. In the limits of calculus, we often find functions that asymptote.
38. The graph clearly illustrates how it will asymptote at that point.
39. As we plotted the data, we noticed the trends would asymptote.
40. The function behaves predictably as it begins to asymptote.
41. Each curve can be analyzed to determine how it will asymptote.
42. The formulas indicate that the function will asymptote to the axis.
43. This particular graph will asymptote at varying rates.
44. The behavior of the curve suggests it will asymptote infinitely.
45. The point of convergence is where we expect to asymptote.
46. The analysis showed how the function would asymptote in the graph.
47. As we observed the behavior of the function, it became clear it would asymptote.
48. Theoretical mathematics often deals with functions that asymptote.
49. The teacher emphasized how we will asymptote to different values.
50. Certain equations will always asymptote at specified points.
51. The graph demonstrated how the line will asymptote.
52. As we calculated the limits, we noted where it would asymptote.
53. The function is designed to asymptote at several key points.
54. The analysis was focused on how the curve would asymptote.
55. The continuous function will asymptote toward infinity.
56. The limit of the function shows us where it will asymptote.
57. The graph clearly shows that the line will asymptote.
58. It's important to understand how the function will asymptote.
59. We predicted that the function would asymptote at a certain point.
60. The teacher asked us to illustrate how the function would asymptote.
61. Reviewing the function, we identified potential places it would asymptote.
62. As we graphed the function, it became clear it would asymptote.
63. The data indicated where the curve would likely asymptote.
64. The function is known to asymptote beyond certain limits.
65. We need to determine how the graph will asymptote as it extends.
66. The mathematician noted that the curve would asymptote at two points.
67. The graph indicates where the function will asymptote.
68. This equation allows us to see how it will asymptote.
69. Our findings suggest that the function will asymptote.
70. The curve will asymptote rather than intersect at that point.
71. The limit approaches indicate where we expect it to asymptote.
72. The analysis showed that the graph would asymptote at various points.
73. We can conclude that the function will asymptote at infinity.
74. The study focused on how different functions asymptote.
75. The graph accurately predicts where it will asymptote.
76. The limit helps us understand where the function will asymptote.
77. The software analysis showed how the curve would asymptote.
78. We explored how the function would asymptote when plotted.
79. The behavior of the graph indicates it will asymptote.
80. We can visualize how the function will asymptote as we graph it.
81. The limits demonstrate where it will asymptote.
82. The concepts of calculus often deal with functions that asymptote.
83. The curve will eventually asymptote to the specified line.
84. The teacher explained how to find where the function would asymptote.
85. This function exhibits behavior that suggests it will asymptote.
86. We need to analyze the graph to see where it will asymptote.
87. The calculations help predict how it will asymptote.
88. As the function increases, it will likely asymptote to the line.
89. The evaluation shows how the curve will asymptote.
90. The behavior of the function at limits indicates it will asymptote.
91. The model predicts that the function will asymptote at certain values.
92. The curve approaches but will never touch the line as it asymptote.
93. The analysis confirmed that the function would asymptote.
94. We plotted the function to see where it would asymptote.
95. The graph clearly shows the area where it will asymptote.
96. The behavior at infinity indicates that it will asymptote.
97. The function's behavior suggests it will eventually asymptote.
98. We need to determine how the curve will asymptote in this case.
99. The software allows us to visualize how it will asymptote.
100. The limit calculations show where the function will asymptote.