Across
- 1. values that a denominator cannot be equal to because it would make the rational expression's value not exist
- 3. a polynomial that has exactly two unique terms
- 8. a polynomial that has exactly three unique terms
- 10. a graph is said to be _______ if it has a negative rate of change (slope). As x increases, y decreases.
- 11. a relation in which every input (x) is paired with exactly one output (y)
- 13. an algebraic function such that both the numerator and the denominator are polynomials and whose denominator has a degree of greater than or equal to 1
- 15. if a function is not defined for all real numbers, it is said to have a restricted domain
- 17. a graph is said to be _______ if it has a positive rate of change (slope). As x increases, y also increases.
- 18. the ______ __ _______ of a parabola opening up and down is the vertical line through the vertex
- 19. a function of the form f(x)=b^x, where b is a positive constant other than 1 and the exponent is a variable. There is not a single parent exponential function because each choice of the base b determines a different parent function.
- 20. a solution for a derived equation that is not a solution of the original equation
- 22. a line that a graph approaches but does not intersect
- 23. the function f(x) equals cube root of x which is the inverse of f(x)=x^3
Down
- 1. an exponential function of the form f(x)=ab^x in which 0<b<1
- 2. if every y value for a function has exactly one x value mapped to it
- 4. monomials that have the same variables to the exact same degree
- 5. a polynomial function of degree 5
- 6. the number that relates two variables that are directly proportional or inversely proportional to one another
- 7. the composition of functions f and g, (f(g(x)) uses the output of g(x) as the input for f(x). Used to mathematically show that two functions are inverses
- 9. a polynomial function of degree 4
- 12. a function where there are y values that have more than one x value mapped to it
- 14. the inverse of a relation consisting of all ordered pairs (x, y) is the set of all ordered pairs (y, x). The graph of the ________ _________ is the reflection of the graph of the relation across the line y=x
- 16. a solution to a polynomial equation. Also called a zero.
- 21. factors of a polynomial such that the factor is of degree 1
- 23. a set of numbers is said to be closed, or have closure, under a given operation if the result of the operation on any two numbers in the set is also in the set