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Popular >

f(x)=3cos(x)-2

Solution

f (x) = 3 cos (x) - 2

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 5 \leq f (x) \leq 1

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

Asymptotes : None

Extreme Points : Maximum (2 πn, 1), Minimum (π + 2 πn, - 5)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 5, 1]

Solution steps

Periodicity of

3 cos (x) - 2 : 2 π

Domain of

3 cos (x) - 2 : - \infty < x < \infty

Range of

3 cos (x) - 2 : - 5 \leq f (x) \leq 1

Axis interception points of

3 cos (x) - 2 :

X Intercepts

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

Y Intercepts

: (0, 1)

Asymptotes of

3 cos (x) - 2 :

None

Extreme Points of

3 cos (x) - 2 :

Maximum

(2 πn, 1),

Minimum

(π + 2 πn, - 5)

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