AP-Pre Calc Ultimate Vocab Review!!!

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Across
  1. 4. An ordered list of numbers (e.g. 1, 3, 5, 7...)
  2. 6. Direction of the graph as x → ±∞ (e.g. for y = x², as x → ±∞, y → ∞)
  3. 8. A function symmetric about the y-axis (e.g. y = x²)
  4. 9. A rectangular array of numbers (e.g. [[1,2],[3,4]])
  5. 10. Point where a graph crosses an axis (e.g. y-intercept of y = 2x + 1 is (0,1))
  6. 11. A number or expression that divides another evenly (e.g. x² – 9 factors into (x – 3)(x + 3))
  7. 15. Set of all input values (x-values) (e.g. domain of y = √x is x ≥ 0)
  8. 17. Describes behavior near a specific input (e.g. limit of (x² – 1)/(x – 1) as x → 1 is 2)
  9. 21. A function using angles (e.g. sine, cosine, tangent)
  10. 24. A point that defines a conic's shape (e.g. a parabola's focus lies inside the curve)
  11. 25. A number flipped over 1 (e.g. reciprocal of 2 is 1/2)
  12. 26. Rate of change of a line (e.g. slope = rise/run = 2/3)
  13. 27. Ratio of adjacent/hypotenuse in a right triangle (e.g. cos(60°) = 1/2)
  14. 29. Ratio of opposite/adjacent in a triangle (e.g. tan(45°) = 1)
  15. 30. Curve formed by slicing a cone (e.g. parabola, circle, ellipse)
  16. 32. Shifting a graph horizontally or vertically (e.g. y = f(x – 2) moves graph right 2 units)
  17. 34. An arrangement where order matters (e.g. 3! = 6 ways to arrange 3 items)
  18. 35. The sum of a sequence (e.g. 1 + 3 + 5 + 7 = 16)
  19. 38. A quantity with magnitude and direction (e.g. ⟨3, 4⟩)
  20. 41. Half the height of a sine or cosine wave (e.g. amplitude of y = 3sinx is 3)
  21. 44. An expression with many terms (e.g. x³ + 2x² – x + 7)
  22. 45. The inverse of an exponential function (e.g. log₁₀(100) = 2)
  23. 50. A function in the form ax² + bx + c (e.g. y = 2x² + 3x – 5)
  24. 51. An equation true for all values of the variable (e.g. sin²x + cos²x = 1)
  25. 52. The turning point of a parabola (e.g. vertex of y = x² – 4x + 3 is (2,–1))
  26. 53. Reciprocal of cosine (e.g. sec(60°) = 2)
  27. 54. One function inside another (e.g. f(g(x)))
Down
  1. 1. A rule assigning each x to one y (e.g. f(x) = x + 1)
  2. 2. A polynomial with two terms (e.g. x + 3)
  3. 3. A function symmetric about the origin (e.g. y = x³)
  4. 5. A ratio of two polynomials (e.g. y = (x + 1)/(x – 2))
  5. 7. Function where the variable is an exponent (e.g. y = 2^x)
  6. 12. Removing a radical from the denominator (e.g. multiply by conjugate to simplify 1/√2)
  7. 13. Highest power of the variable in a polynomial (e.g. x⁴ + 2x² has degree 4)
  8. 14. Where the graph crosses the y-axis (e.g. y = 2x + 3 crosses at (0,3))
  9. 16. A one-term expression (e.g. 7x³)
  10. 18. Conic with two separate curves (e.g. (x²/4) – (y²/9) = 1)
  11. 19. A number in the form a + bi (e.g. 2 + 4i)
  12. 20. A function defined by multiple expressions (e.g. f(x) = x² if x<0, x+1 if x≥0)
  13. 22. Distance from 0 on the number line (e.g. |–5| = 5)
  14. 23. The horizontal line halfway between max and min of a wave (e.g. y = 3sinx + 4 has midline y = 4)
  15. 28. A function that “undoes” another (e.g. f(x) = 2x and f⁻¹(x) = x/2)
  16. 30. Reciprocal of tangent (e.g. cot(45°) = 1)
  17. 31. Change to a graph's position or shape (e.g. vertical stretch or horizontal shift)
  18. 33. A function without breaks or holes (e.g. y = x² is continuous)
  19. 36. The distance before a trigonometric function repeats (e.g. y = sinx has period 2π)
  20. 37. A mathematical sentence with >, <, ≥, or ≤ (e.g. x > 3)
  21. 39. U-shaped graph of a quadratic function (e.g. y = x² – 4x + 3)
  22. 40. Oval-shaped conic section (e.g. (x²/4) + (y²/9) = 1)
  23. 42. A number involving i where i = √–1 (e.g. √–4 = 2i)
  24. 43. Two or more equations solved together (e.g. y = x + 1 and y = 2x – 1)
  25. 46. A value from a square matrix used in solving systems (e.g. det([[1,2],[3,4]]) = -2)
  26. 47. A line a graph approaches but never touches (e.g. y = 1/x has a vertical asymptote at x = 0)
  27. 48. A sequence with a common ratio (e.g. 2, 4, 8, 16...)
  28. 49. An expression containing a root (e.g. √x or ³√(x+1))