Across
- 1. The abbreviation of the theorem stating: If f is a function that is continuous over the domain [a,b] and if m is a number between f(a) and f(b), then there is some value c between a and b such that f(c) = m.
- 4. The sum of the terms of a sequence.
- 5. Another name for a removable discontinuity that can be removed by filling a single point.
- 8. The rate of change of the position of an object.
- 9. The type of discontinuity for which the limits of the left and the right both exist but are not equal to each other.
- 10. The line that touches a curve at a point without crossing over. It is a line which intersects a differentiable curve at the point where the slope of the curve equals the slope of the line.
- 13. The branch of math dealing with limits, derivatives, integrals, and power series.
- 17. The approach of a finite limit.
- 19. A line or curve that the graph of a relation approaches more and more closely the further the graph is followed.
- 21. The product of a given integer and all smaller positive integers.
- 23. The highest point in a particular section of a graph.
- 24. A polynomial that is an approximation of a function using terms from the function's taylor series.
- 25. The abbreviation of the theorem stating: If function f is continuous on [a,b] and differentiable on (a,b), then there exists a number c in (a,b) such that f'(c)=(f(b)-f(a))/(b-a).
Down
- 2. The total amount of space enclosed in a solid.
- 3. The lowest point in a particular section of a graph.
- 6. The value that a function approaches as X (or the domain variable) approaches a specific value.
- 7. A list of numbers set apart by commas.
- 11. The fail to approach a finite limit.
- 12. The point at which a curve changes its concavity.
- 14. This namesake rule is used to evaluate limits of fractions that evaluate to the indeterminate forms.
- 15. The abbreviation of the theorem stating: If a function f is continuous over [a,b] then there are numbers c and d in [a,b] such that f(c) is an absolute minimum over [a,b] and f(d) is an absolute maximum over [a,b].
- 16. The name given to the series 1 + 1/2 + 1/3 + 1/4 + ... + 1/n + ...
- 18. A point on a graph of a function at which the derivative is either 0 or undefined.
- 20. A line that passes through at least two points of a curve.
- 22. A sharp point on a curve. At this point functions are not differentiable.