Question

Graph the Function. y=tan(3x−4π) To draw the graph, plot two consecutive asymptotes. Between those asymptotes, first plot a point corresponding to an x-intercept. Then plot two additional points, one on each side of the first point. Then click on the graph icon.

Answer 1

To graph the function y = tan(3x−4π), plot consecutive asymptotes, an x-intercept, and additional points on each side of the x-intercept.

Step-by-step explanation:

Graphing the function y=tan(3x−4π)

To graph the function y = tan(3x−4π), we need to understand the properties of the tangent function. The tangent function has period π, which means that it repeats every π units along the x-axis. The x-intercepts of the tangent function occur at x = nπ, where n is an integer.

In this case, the period is π, so we can start by plotting two consecutive asymptotes at x = -∞ and x = +∞. The first x-intercept occurs at x = -π/3, which is half of the period before the first asymptote. We can then plot two additional points on each side of the x-intercept to complete the graph.

Finally, click on the graph icon to generate the graph of the function.