Understanding symmetry:When a function y = f(x) has the property that f(−x) = −f(x) for every value of x in the domain of f , the function is said to be an odd function and its graph in a rectangular coordinate system is symmetrical with respect to the origin. When a function r = f(θ) has the property that f(−θ) = −f(θ) for every value ofθ in the domain of f , what geometrical property would the graph of r = f(θ) have when it is plotted in a polar coordinate system?
Understanding symmetry:When a function y = f(x) has the property that f(−x) = −f(x) for every value of x in the domain of f , the function is said to be an odd function and its graph in a rectangular coordinate system is symmetrical with respect to the origin. When a function r = f(θ) has the property that f(−θ) = −f(θ) for every value ofθ in the domain of f , what geometrical property would the graph of r = f(θ) have when it is plotted in a polar coordinate system?
Understanding symmetry:When a function y = f(x) has the property that f(−x) = −f(x) for every value of x in the domain of f , the function is said to be an odd function and its graph in a rectangular coordinate system is symmetrical with respect to the origin. When a function r = f(θ) has the property that f(−θ) = −f(θ) for every value ofθ in the domain of f , what geometrical property would the graph of r = f(θ) have when it is plotted in a polar coordinate system?
Understanding symmetry: When a function y = f(x) has the property that f(−x) = −f(x) for every value of x in the domain of f , the function is said to be an odd function and its graph in a rectangular coordinate system is symmetrical with respect to the origin. When a function r = f(θ) has the property that f(−θ) = −f(θ) for every value of θ in the domain of f , what geometrical property would the graph of r = f(θ) have when it is plotted in a polar coordinate system?
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
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