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Popular >

y=-5cos(x)

Solution

y = - 5 cos (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 5 \leq f (x) \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 : Minimum (2 πn, - 5), Maximum (π + 2 πn, 5)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 5, 5]

Solution steps

Periodicity of

- 5 cos (x) : 2 π

Domain of

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

Range of

- 5 cos (x) : - 5 \leq f (x) \leq 5

Axis interception points of

- 5 cos (x) :

X Intercepts

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

Y Intercepts

: (0, - 5)

Asymptotes of

- 5 cos (x) :

None

Extreme Points of

- 5 cos (x) :

Minimum

(2 πn, - 5),

Maximum

(π + 2 πn, 5)

Popular Examples

f (x) = 4 x^{2} + 3 x - 4

f(y)=(2y)/(9+y^2)

f (y) = \frac{2 y}{9 + y ^{2}}

y = 2 x^{2} + 12 x + 5

f(x)=\sqrt[3]{6x^2-x^3}

f(x)=3(x+1)^2(x-4)

f (x) = 3 (x + 1)^{2} (x - 4)

Frequently Asked Questions (FAQ)

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