Ultimate AP-Pre Calc Crossword Prep!

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Across
  1. 2. Number Number with a real and imaginary part 2 + 3i
  2. 6. Always true equation sin²x + cos²x = 1
  3. 7. Adjacent side / hypotenuse (trig) cos(30°) = √3/2
  4. 10. Ordered list of numbers 1, 2, 3, 4, ...
  5. 12. Sum of a sequence 1 + 2 + 3 = 6
  6. 13. Root expression √16 = 4
  7. 14. Slide of a graph y = f(x – 2) shifts right 2
  8. 16. Set of possible x-values f(x) = √x → domain = x ≥ 0
  9. 20. Function Ratio of polynomials (x² + 1)/(x – 3)
  10. 22. Two mirrored curves x² – y² = 1
  11. 23. 1/cosine sec(60°) = 2
  12. 25. Highest exponent in a polynomial x⁴ + 3x² → degree = 4
  13. 26. Sequence Multiply to get next number 2, 4, 8, 16
  14. 28. Opposite/adjacent side (trig) tan(45°) = 1
  15. 29. Reciprocal of tangent cot(45°) = 1
  16. 30. Oval shape from slicing a cone Orbit of planets
  17. 31. A point inside a curve that reflects rays y = x² has focus above the vertex
  18. 34. Value Distance from 0 on the number line |–5| = 5
  19. 35. Each input has exactly one output f(x) = x²
  20. 36. Where the graph touches y-axis y = 2x + 3 → y-int = 3
  21. 39. Reverses a function f(x) = 2x → f⁻¹(x) = x/2
  22. 42. Function Has variable in the exponent y = 2^x
  23. 43. An arrangement (order matters) P(3,2) = 6
  24. 44. One-term polynomial 5x²
  25. 45. Number Number involving √–1 (i) √–4 = 2i
  26. 48. A number or expression that divides evenly 2 is a factor of 6
  27. 49. A value from a square matrix used in algebra det of [[1,2],[3,4]] = -2
  28. 51. Function Different rules for different x-values f(x) = x if x>0; –x if x<0
  29. 52. Eliminate square root from denominator 1/√2 → √2/2
  30. 53. Line a curve approaches but never touches y = 1/x → vertical asymptote at x = 0
  31. 54. An expression with two terms 3x + 2
  32. 55. Set of equations to solve together y = x + 1 and y = 2x
Down
  1. 1. 1 over the number Reciprocal of 4 = 1/4
  2. 3. Center line of a trig graph y = 2 + sin(x) → midline = y = 2
  3. 4. Function Symmetric about y-axis f(x) = x²
  4. 5. Math of triangles sin(θ), cos(θ), tan(θ)
  5. 8. Exponent question: what power of base gives number? log₂(8) = 3
  6. 9. Distance before a trig graph repeats y = sin(x) → period = 2π
  7. 11. Degree 2 polynomial y = x² + 2x + 1
  8. 15. Half the height of a sine/cosine wave y = 3sin(x) → amplitude = 3
  9. 17. Where a graph crosses an axis y = 2x + 1 → y-intercept = 1
  10. 18. A graph you can draw without lifting your pencil y = x²
  11. 19. Function Rotational symmetry (origin) f(x) = x³
  12. 21. Change in graph (shift, flip, etc.) Reflect across x-axis
  13. 24. Section Shapes made by slicing a cone Circle, ellipse, parabola, hyperbola
  14. 27. Has magnitude and direction (3, 4) → magnitude = 5
  15. 32. Expression with multiple terms x² + 3x – 5
  16. 33. Rise over run m = (y₂ – y₁)/(x₂ – x₁)
  17. 37. U-shaped curve y = x²
  18. 38. Turning point of a parabola y = x² → vertex at (0, 0)
  19. 40. Behavior Graph direction as x → ±∞ y = x² rises both directions
  20. 41. Function A function inside another f(g(x))
  21. 46. Array of numbers [[1, 2], [3, 4]]
  22. 47. Compares two expressions x > 3
  23. 50. What a function approaches limₓ→0 x² = 0