Question 18 • Algebraic Reasoning
For b > 1, y = log_b(x) is increasing, so its y-values always increase as x increases (I). As x approaches 0 from the positive side, the logarithm decreases without bound (III). The graph does not include (0, 1), since x = 0 is outside the logarithm’s domain; and y = 0 occurs only when x = 1, so IV is also true. Therefore, the correct choice is A, I, III, and IV.
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