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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 |