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from class: AP Calculus AB/BC Definition A function is continuous if there are no breaks, jumps, or holes in its graph. In other words, you can draw the graph of a continuous function without lifting your pencil.
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Predict what's on your test "Continuous" also found in: Practice Questions (13) If a function has a removable discontinuity at x = 2, what can be done to make the function continuous at that point? Is f(x) = sqrt(x + 4) continuous over the closed interval [-4, 6]? Is m(x) = 1/(x-2) continuous over the open interval (-1, 3)? Is g(x) = (x^2 - 1)/(x - 1) continuous over the open interval (-∞, 1)? Is s(x) = 2x^2 - 3x + 1 continuous over the closed interval [0, 2]? Is q(x) = e^(3x) continuous over the closed interval [1, 4]? Is h(x) = cos(2x) continuous over the closed interval [0, π]? Is k(x) = ln(x + 3) continuous over the open interval (-3, ∞)? For a piecewise function, what must be true for the function to be continuous at the points where the pieces connect? If a function is continuous at a point, it must also be: Which of the following functions is continuous but not differentiable at x = 1? Which of the following functions is both continuous and differentiable at x = 0? If a function is continuous on a closed interval [a, b] and differentiable on the open interval (a, b), which of the following statements is true?
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