Across
- 3. The test by which it is shown whether a function is a one-to-one function or not, and therefore whether its inverse is a function.
- 6. linear inequalities that bound the feasible region in a linear programming problem.
- 7. The set of all possible ordered pairs (a, b) composed of elements taken from the two sets, A and B.
- 9. A relation which assigns exactly one element in its range for each element in its domain.
- 11. A function is periodic if and only if f (x) = f (x + c), for all values x, where c is a constant. A periodic function repeats itself at regular intervals.
- 12. A function f is odd if f (x) = - f (- x).
- 15. A function is defined at a given value of the independent variable if it assigns that input an output; defined means "takes on a value".
- 17. A relation which assigns a correspondence from the elements of the range to those of the domain. The inverse of a function or relation can be found by interchanging the variables in the function or relation.
- 18. A rule that associates the elements of one set with those of another set. A relation can also be thought of as all of the ordered pairs which satisfy the rule.
- 19. The test by which a relation is either shown to be a function or not. The graph of a function does not intersect with a vertical line more than once.
- 20. a real number that is defined for any square matrix A, expressed either as det (A) or ∣A∣.
- 21. the fixed line used to define a parabola; all points on the parabola must be the same distance from the directrix as they are from the parabola's focus.
- 23. trigonometric function pairs which differ only in the presence or absence of the prefix "co," such as sine and cosine.
- 25. The set of all outputs of a function or relation.
- 26. A function operation symbolized (fog)(x) that is equivalent to f (g(x)).
Down
- 1. the value by which the graph of a trigonometric function such as sine or cosine is stretched; the amplitude is always a positive value.
- 2. The variable of a function which does not depend on the other variable -- it is the input.
- 4. a set of coplanar points equidistant from a fixed point called the center.
- 5. A function is one-to-one if each element in its range is paired with exactly one element from its domain.
- 8. The output variable of a function; the variable whose value depends on the input, or independent variable.
- 10. the value Cij = (−1)i + j · Mij based upon some element aij in a square matrix, where Mij is the minor associated with aij.
- 13. A function is undefined at a given value of its independent variable if for that value, there is no output--this occurs when a particular input creates a situation in which there is division by zero, or an even root of a negative number, for example.
- 14. A function is piecewise if and only if it uses different rules for different parts of its domain.
- 16. the angle measured from the positive x-axis to the segment joining the origin and the point representing the graph of complex number c.
- 22. The set of all inputs for which a function or relation is defined.
- 24. A function f is even if f (x) = f (- x).