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Popular >

f(x)=2cos(x)

Solution

f (x) = 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

asymptotes of y= 3/(x+2)asymptotes

y = \frac{3}{x + 2}

extreme f(x)=1 extreme points

f (x) = 1

range of (3x+6)/x range

\frac{3 x + 6}{x}

domain of (xsqrt(x))/(2x^2-5)domain

\frac{x x}{2 x ^{2} - 5}

asymptotes of f(x)=log_{2}(x)-3 asymptotes

f (x) = lo g_{2} (x) - 3

Frequently Asked Questions (FAQ)

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