Answers are given at the end of these exercises.(a) Check the box “Show Unit Circle.” Be sure the “Show Graph,” “Show Key Points,” and “Show Asymptotes” boxes are unchecked. Use your cursor to slowly move the point on the “Drag me!” slider to the right. Notice the point on the unit circle moves in a counter-clockwise direction. As you do this, notice the points on the graph of the tangent function that are traced out. The x-coordinates of these points represent the measure of the angle in the unit circle and the y-coordinates represent the ratio y/x of the point corresponding to the angle on the unit circle. Now, uncheck the box “Show Unit Circle” and click on the box “Show Graph.” Based on the graph, the range of the tangent function is ______.

(b) Based on the graph of the tangent function, the tangent function is (odd/even) and its graph is symmetric with respect to the____ (x-axis, y-axis, origin).

(c) Click on the box “Show Key Points.” Click on the box “Show Asymptotes.” Based on the results, the tangent function is periodic with period ________.

(d) The graph of y = tan x has vertical asymptotes at (even/odd) multiples of (π, π/2).

(e) The following ordered pairs represent points on the graph of y = tan x. Fill in the ordered pairs with the appropriate values assuming x is the angle and y is the value of the tangent function at x.

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(·)(--) (2T, __)