Math project

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Across
  1. 2. The value a function approaches from specifically the left or the right.
  2. 4. A fixed line used alongside the focus to define the geometry of parabolas, ellipses, and hyperbolas.
  3. 5. The method for finding the derivative of a composite function.
  4. 6. Samantha's favorite teacher
  5. 7. A function that "undoes" another, denoted as $f^{-1}(x)$, reflecting the original over the line y = x.
  6. 9. The value a function approaches as the input approaches some number.
  7. 14. Where the left-hand and right-hand limits exist but are not equal.
  8. 15. the curvature of a function's graph, indicating whether it bends upward or downward.
  9. 17. The set of all possible output values (y-values) the function can produce.
  10. 18. A fixed point used to define a conic; points on the curve have a specific relationship to this point.
  11. 19. A shortcut for finding derivatives of polynomials.
  12. 24. A line that touches a curve at a single point, representing the curve's slope at that spot.
  13. 25. A technique used when a function is not isolated for y.
  14. 27. A point on a curve where the concavity changes.
Down
  1. 1. A "hole" in a graph where the limit exists, but the function is either undefined or defined elsewhere.
  2. 3. The chord passing through the focus, perpendicular to the major axis.
  3. 8. A function is continuous at a point if the limit exists, the function is defined there, and they are equal.
  4. 10. Used for the derivative of a ratio of two functions.
  5. 11. A function performed on another function, written as f(g(x)).
  6. 12. her favorite teacher is Mr. Joseph Guadayo.
  7. 13. The set of all possible input values (x-values) for which the function is defined.
  8. 16. A line that a hyperbola approaches but never touches as it heads toward infinity.
  9. 20. A measure of how much a conic section deviates from being a circle.
  10. 21. A requirement that a function be continuous and smooth for a derivative to exist.
  11. 22. The instantaneous rate of change of a function, or the slope of the tangent line.
  12. 23. A point where the derivative is either zero or undefined
  13. 26. Used for the derivative of two functions multiplied together.