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Popular >

f(x)=-5cos(x)+3

Solution

f (x) = - 5 cos (x) + 3

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 2 \leq f (x) \leq 8

X Intercepts : (arccos (\frac{3}{5}) + 2 πn, 0), (2 π - arccos (\frac{3}{5}) + 2 πn, 0), Y Intercepts : (0, - 2)

Asymptotes : None

Extreme Points : Minimum (2 πn, - 2), Maximum (π + 2 πn, 8)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, 8]

Solution steps

Periodicity of

- 5 cos (x) + 3 : 2 π

Domain of

- 5 cos (x) + 3 : - \infty < x < \infty

Range of

- 5 cos (x) + 3 : - 2 \leq f (x) \leq 8

Axis interception points of

- 5 cos (x) + 3 :

X Intercepts

: (arccos (\frac{3}{5}) + 2 πn, 0), (2 π - arccos (\frac{3}{5}) + 2 πn, 0),

Y Intercepts

: (0, - 2)

Asymptotes of

- 5 cos (x) + 3 :

None

Extreme Points of

- 5 cos (x) + 3 :

Minimum

(2 πn, - 2),

Maximum

(π + 2 πn, 8)

Popular Examples

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y=tan(e^{sqrt(x)})

y = tan (e^{x})

Frequently Asked Questions (FAQ)

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