BC Calc - Unit 1
Help!
|
|
||||
|---|---|---|---|---|---|
| A Function Is Continuous When... | f(c) exists, limit as x->c exists, limit as x->c = f(c)
🗑
|
||||
| Intermediate Value Theorem | if f(x) is continuous on the interval [a,b] with f(a)≠f(b), then if d is any number between f(a) and f(b), there is a least one c between a and b such a that f(c)=d
🗑
|
||||
| Extreme Value Theorem | if f(x) is continuous on the interval [a,b], then f(x) has both an absolute maximum and absolute minimum value on {a,b}
🗑
|
||||
| Infinite Limit | also known as a vertical asymptote, it's a limit that when evaluated, is increasing without bound to +∞ or decreasing without a bound to -∞
🗑
|
||||
| Limit At Infinity | a limit where x is approaching +∞ or -∞
🗑
|
||||
| Horizontal Asymptote Rules | top heavy = none, bottom heavy = 0, equal = coefficient/coefficient
🗑
|
||||
| A Jump Discontinuity Occurs When... | the limit from the right does not equal the limit from the left (non-removable)
🗑
|
||||
| A Point Discontinuity Occurs When... | limit f(x) does not equal f(x) (removable)
🗑
|
||||
| Special Trig Limits | sin(0) / 0 = 1
🗑
|
||||
| The Squeeze Theorem | if h(x)≤f(x)≤g(x) for all x in an open interval containing c, except possibly c itself, and if limit x->c h(x) = L = limit x->c g(x), then limit x->c f(x) exists and is equal to L
🗑
|
||||
| Limit | a limit is what happens near a point, not at a point
🗑
|
Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.
Normal Size Small Size show me how
Normal Size Small Size show me how
Created by:
abievans
Popular Math sets