Across
- 2. the highest value of a function for each value of the domain
- 4. the amount of time that is needed for half of a substance to decay
- 6. a line related to a given curve such that the distance from the line to a point on the curve approaches zero as the distance of the point from an origin increases without bound
- 10. a circle of radius 1 whose center is at the origin
- 11. a point where a function changes concavity; also, where the second derivative changes signs
- 12. a unit of measurement of angles; the angle between two radii that cut off on the circumference of a circle an arc equal in length to the radius
- 13. on a graphing calculator, the portion of the coordinate plane displayed on the screen
- 16. an equation that contains derivatives or differentials of a function
- 20. the rate of change of position with respect to time
- 21. the process by which an antiderivative is calculated
- 22. a type of conic that is u-shaped and has eccentricity equal to 1
- 24. section one of a group of curves formed by the intersection of a plane and a right circular cone
- 25. a collection of any kind of objects
- 26. the process of finding the derivative of a function
- 28. the steepness of a line
- 31. the set of all values that can be assumed by the independent variable of a function
- 32. a set containing all real numbers or points between two given real numbers or points
- 35. a function that a can be expressed in the form f(x)=mx+b
- 37. a point or value of the independent variable at which the
- 38. a relation such that each element of the domain has one and only one element of the range.
- 39. the function that is integrated in an integral
Down
- 1. the smallest value of a function for each value of the domain
- 3. any point of intersection of two sides of a polygon or plane surfaces of a solid
- 5. the greatest y-value that a function achieves
- 6. the smallest y-value that a function achieves
- 7. the point (0, 0) in the Cartesian coordinate plane
- 8. any x values where f′(x) = 0 or is undefined
- 9. any of the four sections into which the coordinate plane is divided by the coordinate axes, counted counter-clockwise
- 14. the slope of the tangent line at a point on a curve
- 15. the expression for the evaluation of the indefinite integral of a positive function between two limits of integration
- 17. a number that cannot be written as an integer or as a quotient of two integers
- 18. number any rational or irrational number
- 19. the value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
- 20. of a function is not equal to its limit as the value of the independent variable approaches that point, or where it is not defined
- 23. a restriction on the range of a function
- 27. integral an integral without any specified limits, whose solution includes an undetermined constant C; antiderivative
- 29. the set of points in a plane that are equidistant from a given point
- 30. = notation using the Greek letter capital sigma for writing lengthy sums in compact form
- 33. Rule A method of approximating to an integral as the limit of a sum of areas of trapezoids
- 34. local maximums and minimums of a function
- 36. the set of y-values that the function takes on for each x-value in the domain for which the function is defined