Across
- 5. Moments within a function that are undefined and appear as a break or hole in a graph.
- 6. A set of real numbers with the property that any number that lies between two numbers in the set is also included in the set.
- 9. It states that if a real-valued function f is continuous in the closed and bounded interval [a,b], then f must attain a maximum and a minimum, each at least once.
- 10. It measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).
- 12. The smallest value of the function.
- 15. It states that if f(x) is defined and continuous on the interval [a,b] and differentiable on (a,b), then there is at least one number c in the interval (a,b) (that is a < c < b) such that.
Down
- 1. The lowest point over the entire domain of a function or relation.
- 2. Any value in its domain where its derivative is 0.
- 3. The lowest point in a particular section of a graph.
- 4. It is used to determine if a critical point is a local extremum (minimum or maximum).
- 7. A value in the domain of a given function at which the function attains a maximum or minimum value.
- 8. The highest point in a particular section of a graph.
- 11. A __________ function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.
- 13. The highest point over the entire domain of a function or relation.
- 14. A __________function of one real variable is a function whose derivative exists at each point in its domain.
- 15. The largest value of the function.