Across
- 1. A number in the form a + bi, where a and b are real numbers, and i is the imaginary unit.
- 5. A function in which the variable appears in the exponent, typically in the form f(x) = a·b^x.
- 8. A measure of the steepness of a line, calculated as the ratio of the vertical change to the horizontal change between two points.
- 10. A notation used to describe a set by stating the properties that its members must satisfy.
- 14. The behavior of the graph of a function as x approaches positive or negative infinity.
- 16. A function in the form f(x) = 1/x.
- 20. A simplified method of dividing a polynomial by a binomial of the form x - c.
- 21. A relation in which each input has exactly one output.
- 26. A situation where a quantity increases by a constant factor over equal increments of time. 
- 28. An ordered list of numbers following a particular pattern.
- 31. A function that reverses the effect of the original function, denoted as f⁻¹(x).
- 34. To write a polynomial as a product of its factors.
- 35. A scalar value that can be computed from the elements of a square matrix and encodes certain properties of the matrix.
- 40. All numbers on the number line, including both rational and irrational numbers.
- 42. A way to name functions using symbols such as f(x) to denote the output of function f for input x.
- 43. A polynomial with exactly one term.
- 44. The graph of a quadratic function, a U-shaped curve.
- 46. A shift of a graph horizontally, vertically, or both.
- 47. A polynomial function of degree 2, typically in the form f(x) = ax² + bx + c.
- 48. function that contains an algebraic expression within absolute value symbols.
- 49. A method to determine if a graph represents a function: if any vertical line intersects the graph more than once, it is not a function.
- 50. The values of x for which a function equals zero.
Down
- 2. A function defined by different expressions for different intervals of the domain.
- 3. An input value that produces an output of zero; also known as a root.
- 4. The distance (along the x-axis) required for a periodic function to complete one full cycle.
- 6. A sequence where each term is found by multiplying the previous term by a constant ratio.
- 7. A rectangular array of numbers arranged in rows and columns.
- 9. An operation that moves or changes a graph in some way, such as translation, reflection, or dilation.
- 11. The coefficient of the term with the highest degree in a polynomial.
- 12. A set of two or more equations with the same variables.
- 13. The highest or lowest point on the graph of a quadratic function.
- 15. The inverse of an exponential function, typically in the form f(x) = log_b(x).
- 17. A ratio of two polynomials.
- 18. For a complex number a + bi, its conjugate is a - bi.
- 19. The horizontal line that is the average of the maximum and minimum values of a periodic function. 
- 22. A way of describing sets of numbers using intervals.
- 23. A situation where a quantity decreases by a constant factor over equal increments of time.
- 24. An expression consisting of variables and coefficients, involving only addition, subtraction, multiplication, and non-negative integer exponents.
- 25. A function formed by combining two functions, denoted as (f ∘ g)(x) = f(g(x)).
- 27. The unit i is defined as the square root of -1.
- 29. The set of all possible input values (x-values) for a function. 
- 30. A polynomial with exactly two terms.
- 32. A function that can be expressed as the ratio of two polynomials.
- 33. The maximum distance of the values of a periodic function above or below the midline. 
- 36. The set of all possible output values (y-values) of a function.
- 37. A line that a graph approaches but never touches or crosses. 
- 38. The form f(x) = ax² + bx + c for a quadratic function.
- 39. A sequence in which each term is the previous term plus a constant. 
- 41. The highest power of the variable in a polynomial expression.
- 45. In a quadratic equation ax² + bx + c = 0, the discriminant is b² - 4ac, which determines the nature of the roots.