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Logarithmic functions and their graphs
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Learn it y = log_b x is the inverse of y = bˣ: its domain is x > 0, its range is all real numbers, it passes through (1, 0) and has a vertical asymptote x = 0. y = log_b(x − d) + c moves the asymptote to x = d.
Example: Domain of y = log₃(x + 4) − 1?
- The argument must be positive: x + 4 > 0.
- x > −4.
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