Tangent Function Quiz

Authored by Gema Venegas

Mathematics

11th Grade

CCSS covered

Used 7+ times

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14 questions

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Select the tangent graph.

MATCH QUESTION

1 min • 1 pt

Match the following graphs with their equation.

$y=-\sin x$

$y=\cos x$

$y=-\cos x$

$y=\sin x$

$y=\tan\ x$

What is the domain of the tangent function?

$all\ real\ numbers$

$all\ real\ numbers\ except\ odd\ multiples\ of\ \frac{\pi}{2}$

$x\ge0$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the range of the tangent function?

$all\ real\ numbers$

$-1\le y\le1$

$y\ge0$

$y\le0$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the period of the tangent function?
(Hint: Look at the distance between matching points)

$\pi$

$2\pi$

$\frac{\pi}{2}$

$2$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$y=2\ \tan\ \left(4x+\pi\right)+3$ Is it moving to the left or right?

Left

Right

N/A

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the horizontal shift of
$y=-2\tan2\left(x-\frac{\pi}{4}\right)$

$Left\ \frac{\pi}{2}$

$Right\ \frac{\pi}{4}$

$Right\ \frac{\pi}{2}$

$Left\ \frac{\pi}{4}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the vertical shift of the graph of the equation $y=6\tan\left(\frac{1}{3}\left(x-1\right)\right)+3$

up 3

down 3

up 6

down 1

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the period of the tangent function from its equation?

$\frac{2\pi}{b}$

$\frac{\pi}{b}$

$b$

$\frac{a}{b}$

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11th Grade

Tangent Function

Select the tangent graph.

Match the following graphs with their equation.

What is the domain of the tangent function?

What is the range of the tangent function?

What is the period of the tangent function?(Hint: Look at the distance between matching points)

y=2 tan⁡ (4x+π)+3y=2\ \tan\ \left(4x+\pi\right)+3y=2 tan (4x+π)+3 Is it moving to the left or right?

What is the horizontal shift of y=−2tan⁡2(x−π4)y=-2\tan2\left(x-\frac{\pi}{4}\right)y=−2tan2(x−4π​)

What is the vertical shift of the graph of the equation y=6tan⁡(13(x−1))+3y=6\tan\left(\frac{1}{3}\left(x-1\right)\right)+3y=6tan(31​(x−1))+3

Determine the vertical shift of the graph: (a)

How do you find the period of the tangent function from its equation?

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What is the period of the tangent function?
(Hint: Look at the distance between matching points)

$y=2\ \tan\ \left(4x+\pi\right)+3$ Is it moving to the left or right?

What is the horizontal shift of
$y=-2\tan2\left(x-\frac{\pi}{4}\right)$

What is the vertical shift of the graph of the equation $y=6\tan\left(\frac{1}{3}\left(x-1\right)\right)+3$

Determine the vertical shift of the graph:

(a)