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Popular >

y=2cos(x)

Solution

y = 2 cos (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

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

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, 2]

Solution steps

Periodicity of

2 cos (x) : 2 π

Domain of

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

Range of

2 cos (x) : - 2 \leq f (x) \leq 2

Axis interception points of

2 cos (x) :

X Intercepts

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

Y Intercepts

: (0, 2)

Asymptotes of

2 cos (x) :

None

Extreme Points of

2 cos (x) :

Maximum

(2 πn, 2),

Minimum

(π + 2 πn, - 2)

Popular Examples

inverse of f(x)=-4(x+10)^2+6 inverse

f (x) = - 4 (x + 10)^{2} + 6

range of f(x)=(|x-2|+|x+2|)/x range

f (x) = \frac{∣ x - 2 ∣ + ∣ x + 2 ∣}{x}

inverse of f(x)=ln(3x+7)inverse

f (x) = ln (3 x + 7)

intercepts of f(x)=(x^3)/(x^2-9)intercepts

f (x) = \frac{x ^{3}}{x ^{2} - 9}

parity x^2-3 parity

x^{2} - 3

Frequently Asked Questions (FAQ)

What is the y=2cos(x) ?
The y=2cos(x) is