Problem

Use the graph of \(y~=~\sec(x)\) on \([-\pi~,~\pi~]\) to state the period, parity, all vertical asymptotes, upward-branch minima, downward-branch maxima, zeros, and range.

Exact sec graph on [−π,π] overlaid with its faint cos source, including every asymptote and branch vertex.

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The period is 2pi and secant is odd. Vertical asymptotes are -pi/2, pi/2; upward-branch minima are (0, 1); downward-branch maxima are (-pi, -1), (pi, -1); there are no zeros; and the range is (-infinity, -1] union [1, infinity).

The period is 2pi and secant is even. Vertical asymptotes are -pi/2, pi/2; upward-branch minima are (0, 1); downward-branch maxima are (-pi, -1), (pi, -1); there are no zeros; and the range is (-infinity, -1] union [1, infinity).

The period is pi and secant is even. Vertical asymptotes are -pi/2, pi/2; upward-branch minima are (0, 1); downward-branch maxima are (-pi, -1), (pi, -1); there are no zeros; and the range is (-infinity, -1] union [1, infinity).

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Use the graph of \(y~=~\sec(x)\) on \([-\pi~,~\pi~]\) to state the period, parity, all vertical asymptotes, upward-branch minima, downward-branch maxima, zeros, and range.

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