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A concave function describes a curve bent inward, like the inside of a bowl. Examples include polynomials and logarithmic functions. To determine if a function is concave up or down, you can plot the equation on a graph or use derivatives. If the derivative is decreasing, the function is concave. If the derivative is increasing, it is convex. For more help with understanding concave functions, including equations and answers to specific problems, check out Plainmath many math tutors who are always available to help.