Unit 4 Vocabulary Words

1. the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value
7. exists on the graph of a rational function at any input value that causes both the numerator and denominator of the function to be equal to zero
8. is a line that guides the graph of the function but is not part of it
10. if the denominator of two or more fractions are the same, it is said to be ____
12. occurs at a point where the left- and right-hand limits of a function are not equal
14. a point on the graph that is undefined or does not fit the rest of the graph
16. if the denominator of two or more fractions are different, it is said to be ___
17. a comparison between two quantities with different units, expressed as a ratio representing the amount of one quantity per unit of another
18. a function that is a fraction and has the property that both its numerator and denominator are polynomials.
19. usually involve situations such as two people working together to paint a house
20. breaking a number down into smaller numbers that, multiplied together, give you that original number

2. when the function spikes up to infinity at a certain point from both sides
3. is a solution, such as that to an equation, that emerges from the process of solving the problem but is not a valid solution to the problem
4. an asymptote that is neither vertical nor horizontal
5. defined as the largest number that is a factor of all the numbers
6. finding "best available" values of some objective function given a defined domain
9. the smallest number that two or more numbers can divide into evenly
11. are fractions that have a polynomial in the numerator, denominator, or both
13. is a line to which the graph of the function appears to coincide with but it doesn't actually coincide
15. when creating an inverse you sometimes must cut off the domain of most of the function, saving the largest possible portion so that when the inverse is created it is also a function