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HC Basic Functions
Basic Functions
| Question | Answer |
|---|---|
| function | vertical line test |
| inverse | horizontal line test |
| domain | x values |
| range | y values |
| x-intercept | let y = 0 |
| y-intercept | let x = 0 |
| y = f(x - h) | shift to the right by h units |
| y = f(x + h) | shift to the left by h units |
| y = f(x) - k | shift downward by k units |
| y = f(x) + k | shift upward by k units |
| y = -f(x) | reflect across x-axis |
| y = f(-x) | reflect across y-axis |
| tan(x) | sin(x)/cos(x) |
| cot(x) | 1/tan(x) = cos(x)/sin(x) |
| csc(x) | 1/sin(x) |
| sec(x) | 1/cos(x) |
| sin^2(x) + cos^2(x) | 1 |
| sin^2(x) + cos^2(x) = 1 | divide by cos^2(x) to get another identity and divide by sin^2(x) to get another identity |