Problem

Use the graph of \(y~=~\tan(x)\) on \([-\pi~,~0]\) to state the period, all zeros, vertical asymptotes, defined branches, monotonicity on each branch, and range.

Exact tangent graph on [−π,0] with radian ticks, endpoint conventions, all asymptotes, and complete branch arrows.

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The period is pi; zeros are -pi, 0; vertical asymptotes are -pi/2; defined branches are [-pi, -pi/2), (-pi/2, 0]; tangent is strictly decreasing on every branch and has range (-infinity, infinity).

The period is 2pi; zeros are -pi, 0; vertical asymptotes are -pi/2; defined branches are [-pi, -pi/2), (-pi/2, 0]; tangent is strictly increasing on every branch and has range (-infinity, infinity).

The period is pi; zeros are -pi, 0; vertical asymptotes are -pi/2; defined branches are [-pi, -pi/2), (-pi/2, 0]; tangent is strictly increasing on every branch and has range [-1, 1].

The period is pi; zeros are -pi, 0; vertical asymptotes are -pi/2; defined branches are [-pi, -pi/2), (-pi/2, 0]; tangent is strictly increasing on every branch and has range (-infinity, infinity).

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Use the graph of \(y~=~\tan(x)\) on \([-\pi~,~0]\) to state the period, all zeros, vertical asymptotes, defined branches, monotonicity on each branch, and range.

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