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Popular >

f(x)=4cos(2x)

Solution

f (x) = 4 cos (2 x)

Solution

Period : π

Domain : - \infty < x < \infty

Range : - 4 \leq f (x) \leq 4

X Intercepts : (\frac{π}{4} + πn, 0), (\frac{3 π}{4} + πn, 0), Y Intercepts : (0, 4)

Asymptotes : None

Extreme Points : Maximum (πn, 4), Minimum (\frac{π}{2} + πn, - 4)

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Interval Notation

Domain : (- \infty, \infty)

Range : [- 4, 4]

Solution steps

Periodicity of

4 cos (2 x) : π

Domain of

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

Range of

4 cos (2 x) : - 4 \leq f (x) \leq 4

Axis interception points of

4 cos (2 x) :

X Intercepts

: (\frac{π}{4} + πn, 0), (\frac{3 π}{4} + πn, 0),

Y Intercepts

: (0, 4)

Asymptotes of

4 cos (2 x) :

None

Extreme Points of

4 cos (2 x) :

Maximum

(πn, 4),

Minimum

(\frac{π}{2} + πn, - 4)

Popular Examples

sum from n=0 to infinity of 4/n

n = 0 \sum \infty \frac{4}{n}

tangent of y=tan^2(x),(pi/4 ,1)tangent of

y = tan^{2} (x), (\frac{π}{4}, 1)

derivative of e^{1/2 x^2}

\frac{d}{d x} (e^{\frac{1}{2} x^{2}})

derivative of 2^{3x+1}ln(5x-11)

\frac{d}{d x} (2^{3 x + 1} ln (5 x - 11))

laplacetransform e^{t/2}*cos(2t)laplace transform

e^{\frac{t}{2}} \cdot cos (2 t)

Frequently Asked Questions (FAQ)

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