U1 Calculus Vocabulary

3. A point where a function is not continuous.
5. Function, A function whose graph can be drawn without lifting a pencil.
7. Form, An expression like 0/0 that does not immediately reveal a limit.
8. Function, A function made of different rules on different intervals.
9. Asymptote, A horizontal line the graph approaches as x becomes very large or small.
12. Rate of Change, The rate of change at one specific point.
17. Value Theorem, If a continuous function takes two values, it must take every value between them.
19. Asymptote, A vertical line the graph approaches when function values grow very large.
20. Limit, A limit found by approaching a point from only the left or right side.

1. A line that a graph approaches but never reaches.
2. All possible input values of a function.
4. A function is continuous if there are no breaks, holes, or jumps in its graph.
6. Discontinuity, A discontinuity caused by a hole that can be fixed by redefining one value.
10. All possible output values of a function.
11. The value a function approaches as the input approaches a certain number.
13. Theorem, A theorem used to find a limit by trapping a function between two others.
14. Notation, Symbols used to describe limits mathematically.
15. Discontinuity, A discontinuity where the function jumps from one value to another.
16. Discontinuity, A discontinuity caused by a vertical asymptote.
18. Rate of Change, The slope between two points on a graph.