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Popular >

f(θ)=5cos(θ)

Solution

f (θ) = 5 cos (θ)

Solution

Period : 2 π

Domain : - \infty < θ < \infty

Range : - 5 \leq f (θ) \leq 5

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 5, 5]

Solution steps

Periodicity of

5 cos (θ) : 2 π

Domain of

5 cos (θ) : - \infty < θ < \infty

Range of

5 cos (θ) : - 5 \leq f (θ) \leq 5

Axis interception points of

5 cos (θ) :

X Intercepts

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

Y Intercepts

: (0, 5)

Asymptotes of

5 cos (θ) :

None

Extreme Points of

5 cos (θ) :

Maximum

(2 πn, 5),

Minimum

(π + 2 πn, - 5)

Popular Examples

f (x) = x^{3} - x + 3

f (x) = 5^{x} - 8

f (x) = 7 x^{\frac{2}{3}}

f (x) = - x^{2} + 6 x - 2

f (x) = 2 \cdot 5^{x}

Frequently Asked Questions (FAQ)

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