AP Precalculus Crossword

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Across
  1. 2. A line that a graph approaches but never touches or crosses.
  2. 4. The horizontal line that represents the average value of a periodic function, dividing the wave into equal halves.
  3. 6. A set of values that specify a point's location in a space, often expressed as (x, y).
  4. 7. A trigonometric function that represents the reciprocal of cosine.
  5. 9. A trigonometric function representing the ratio of the length of the opposite side to the length of the adjacent side in a right triangle, or the slope of the angle in the unit circle.
  6. 12. A unit of angle measurement based on the radius of a circle, where one radian corresponds to an arc length equal to the radius.
  7. 13. A point in the graph of a function where it is undefined due to a removable discontinuity.
  8. 15. The set of all possible input values (x-values) for a function.
  9. 18. A type of asymptote that occurs when the degree of the numerator is one more than the degree of the denominator in a rational function.
  10. 19. The branch of mathematics dealing with the relationships between angles and sides of triangles.
  11. 20. A polynomial with exactly two terms, such as a+b.
  12. 23. The measure of the steepness of a line, calculated as the rise over run between two points.
  13. 24. A polynomial of degree two, often represented in the form ax^2+bx+c.
  14. 25. The difference between the observed value and the value predicted by a regression model.
  15. 27. A structured arrangement of data in rows and columns for easy reference.
  16. 29. A function in which the variable is an exponent, often represented as y=a⋅b^x
  17. 30. behavior, The behavior of a function as the input values approach positive or negative infinity.
  18. 32. A trigonometric function representing the ratio of the opposite side to the hypotenuse in a right triangle.
  19. 34. A sequence of numbers with a constant ratio between consecutive terms.
  20. 35. A coordinate system that represents points using distance from a reference point and angle from a reference direction.
  21. 36. A function that reverses the effect of the original function, swapping inputs and outputs.
  22. 38. A statistical method used to determine the relationship between variables, often used for prediction.
  23. 42. A function that can be expressed as the ratio of two polynomials.
  24. 43. A trigonometric function that represents the reciprocal of tangent.
  25. 45. The set of all possible output values (y-values) of a function.
  26. 46. A range of values, often represented by two endpoints, indicating where a function is defined or certain conditions hold.
  27. 47. A trigonometric function representing the ratio of the opposite side to the adjacent side in a right triangle.
  28. 48. The process of breaking down an expression into simpler components, or factors, that multiply to give the original expression.
Down
  1. 1. A trigonometric function that represents the reciprocal of sine.
  2. 3. A transformation that moves a graph horizontally or vertically without changing its shape.
  3. 5. A transformation that alters the size of a graph, making it wider or narrower.
  4. 8. Circle, A circle with a radius of one, used to define trigonometric functions for all angles.
  5. 10. An expression consisting of variables raised to whole number powers and coefficients, combined using addition, subtraction, and multiplication.
  6. 11. A change made to a function or graph that alters its position, size, or shape.
  7. 14. Referring to functions that have the shape of sine or cosine waves, characterized by periodic oscillations.
  8. 16. A value of the variable that makes a function equal to zero, also known as a root.
  9. 17. One of the four sections of the Cartesian plane, defined by the signs of the coordinates.
  10. 21. A sequence of numbers with a constant difference between consecutive terms.
  11. 22. A function that represents the inverse of exponentiation, often in the form y=logb (x).
  12. 26. The maximum distance a wave or periodic function reaches from its midline.
  13. 28. The point where a graph crosses the axes; x-intercepts occur on the x-axis, and y-intercepts on the y-axis.
  14. 31. Information collected for analysis, often represented in tables or graphs.
  15. 33. The length of one complete cycle of a periodic function, such as sine or cosine.
  16. 37. A visual representation of the relationship between variables, typically plotted on a coordinate plane.
  17. 38. A transformation that flips a graph over a specified line, such as the x-axis or y-axis.
  18. 39. Numbers that include a real part and an imaginary part, typically in the form a+bi.
  19. 40. A polynomial of degree one, represented in the form y=mx+b.
  20. 41. A trigonometric function representing the ratio of the adjacent side to the hypotenuse in a right triangle.
  21. 44. The value that a function approaches as the input approaches a certain point.
  22. 46. A mathematical statement that shows the relationship between two expressions that are not equal, using symbols like <, >, ≤, and ≥.