Graphs of Tangent Function (Leaving Cert Mathematics): Quizzes

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Graphs of Tangent Function
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10 questions from this quiz

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What is the period of the tangent function?

π\pi

Where are vertical asymptotes of tan⁡(x)\tan(x)?

x=π2+nπx = \frac{\pi}{2}+n\pi

What is the range of tan⁡(x)\tan(x)?

(−∞,∞)(-\infty, \infty)

What is tan⁡(0)\tan(0)?

0

What is tan⁡(π4)\tan(\frac{\pi}{4})?

1

Are there maximum points on tan⁡(x)\tan(x)?

No

Is tan⁡(x)\tan(x) symmetric?

Yes, about the origin

What is the key property of the tangent function?

Periodic with π\pi

Between which asymptotes does tan⁡(x)\tan(x) rise from −∞-\infty to ∞\infty?

−π2-\frac{\pi}{2} to π2\frac{\pi}{2}

What is the tangent value at x=π2x=\frac{\pi}{2}?

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