Across
- 7. Selection of the best value for a variable, usually to maximize or minimize a particular dimension in a problem
- 8. minimums or maximums on an open interval
- 9. The lowest value of a function over an interval
- 11. If a function has the same value at two different points and is continuous over the interval must have a point within the interval where the value of the derivative is zero.
- 15. function Over a given interval, if x2 is less than x2, then f(x1) is greater than f(x2)
- 16. Use of the value of the first derivative (positive or negative) over an interval to determine if a critical point is a relative minimum or maximum.
- 17. function Over a given interval, if x1 is less than x2, then f(x1) is also less than f(x2)
Down
- 1. A line to which the graph of a function continually approaches but does not touch at any finite distance
- 2. An x value for which the function is defined and the derivative is either equal to zero or does not exist.
- 3. the minimum and/or maximum of a function on an interval
- 4. A method of finding increasingly better numeric approximations to the zeros of a function
- 5. A critical point at which the graph of a function changes concavity
- 6. If a function is continuous and differentiable over an interval, then there is a point in that interval for which the value of the derivative is equal to the slope of the secant line over the interval.
- 10. Use of the value of the second derivative (positive or negative) over an interval to determine if a critical point is a point of inflection
- 12. The highest value of a function over an interval
- 13. The principal part of the change in a function with respect to change in the independent variable (dy = f'(x)dx).
- 14. The minimum or maximum of a function for the entire closed interval or for the entire domain
- 18. The direction of the bending or curvature of a graph, found by the value of the second derivative