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Popular Functions >

y=1-3cos(x)

Solution

y = 1 - 3 cos (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 2 \leq f (x) \leq 4

X Intercepts : (arccos (\frac{1}{3}) + 2 πn, 0), (2 π - arccos (\frac{1}{3}) + 2 πn, 0), Y Intercepts : (0, - 2)

Asymptotes : None

Extreme Points : Minimum (2 πn, - 2), Maximum (π + 2 πn, 4)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, 4]

Solution steps

Periodicity of

1 - 3 cos (x) : 2 π

Domain of

1 - 3 cos (x) : - \infty < x < \infty

Range of

1 - 3 cos (x) : - 2 \leq f (x) \leq 4

Axis interception points of

1 - 3 cos (x) :

X Intercepts

: (arccos (\frac{1}{3}) + 2 πn, 0), (2 π - arccos (\frac{1}{3}) + 2 πn, 0),

Y Intercepts

: (0, - 2)

Asymptotes of

1 - 3 cos (x) :

None

Extreme Points of

1 - 3 cos (x) :

Minimum

(2 πn, - 2),

Maximum

(π + 2 πn, 4)

Graph

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Frequently Asked Questions (FAQ)

What is the y=1-3cos(x) ?
The y=1-3cos(x) is