Symmetry Recall that the graph of a function is symmetric with respect to the origin if, whenever (x,y) is a point on the graph, is also a point on the graph. The graph of the function is symmetric with respect to the point (a, b) if, whenever is a point on the graph, is also a point on the graph, as shown in the figure.
(a) Ketch the graph of on the interval . Write a short paragraph explaining how the symmetry of the graph with respect to the point allows you to conclude that
(b) Sketch the graph of on the interval . Use the symmetry of the graph with respect to the point to evaluate the integral.
(c) Sketch the graph of y= arccos x on the interval Use the symmetry of the graph to evaluate the integral.
