Math question: What is the period and range of the tangent function f(x) = tan x?Answer: The period of the tangent function is π (or 180°) because it repeats every π units. The range of f(x) is (-∞, +∞) as it extends infinitely both in the positive and negative directions. However, the function has vertical asymptotes at x = (n + 1/2)π, where n is an integer, meaning it never reaches those values.
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What is the common characteristic of the exponential functions f(x) = 10^x and f(x) = e^x in terms of their growth rates and graph behaviors?
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Math question: What is the slope-intercept equation for a line passing through the points (3, -2) and (5, 4)?