Tangent Function

What is the range of the graph of a tangent function?

• (-∞, ∞)

• [-1, 1]

• (0, ∞)

• (-∞, 0)

Select the tangent graph.

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What's the vertical translation of this graph?

• down 2

• up 2

• up 5

• no vertical translation

Determine the equation

• tan x

• cot x

• sin x

• cot 2x

The tangent function is defined:

• Hypotenuse / Adjacent

• Opposite / Hypotenuse

• Adjacent / Hypotenuse

• Opposite / Adjacent

Which graph matches the equation?

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Sketch a graph of the parent tangent function, y = tan a. Describe the domain, range, symmetry, period, and any asymptotes of the graph. Use Demos to sketch the graph.

b

c

d

e

a

Point symmetry (odd)

All angle measures except 90, 270, etc

All angle measures

What is the equation of the graph shown?

• y = tanθ/2

• y = tan2θ

• y = tanθ/4

• y = tan4θ

What is the value of a if the function above is f(x) = a tan x

• 1/2

• 1

• 2

• 4

• Vertical asymptote

• maximum value

• x-intercept

• minimum value