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precalc unit 7 test
| Question | Answer |
|---|---|
| bottom heavy | y = 0 |
| top heavy | find slant asymptote by long division, draw out graph, and then determine end behavior |
| equal heavy | divide coefficients of largest exponents |
| a = b | butt/heart shape |
| a < b | inner loop |
| a > b | big circle but not perfectly round |
| origin decreasing or negative = | closer to origin/"x-axis" |
| origin increasing or positive = | away from origin/"x-axis" |
| exponential: | output values are a constant proportion |
| logarithmic: | input values are a constant proportion |
| not invertible reasoning: | f(x) is not invertible because every output value does not have exactly 1 unique input value. for example, f(0) = 10 and f(15) = 10. aka there cannot be the same output value |
| arccos = | decrease from left to right (unless there is a reflection at the front) |
| arcsin = | increase from left to right (unless there is a reflection at the front) |
| arctan = | increase from left to right (unless there is a reflection at the front) |
| arccot = | decrease from left to right (unless there is a reflection at the front) |
| write down trick for soving arctrigs problems! | ok |
| aroc the least; aroc the greatest | decreasing origin (closer to x-axis); increasing origin (away from x-axis) |
| aroc formula: | f(b)-f(a)/b-a |
| when solving for logs and you get answers... | check for extraneous solutions!!! (no negative or 0 in the parenthesis of a log!) |
| how to cancel out ln: | e! |
Created by:
acuda25