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Popular >

f(x)=12(cos(2000pix))^2

Solution

f (x) = 12 (cos (2000 π x))^{2}

Solution

Period : \frac{1}{2000}

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq 12

X Intercepts : (\frac{1}{4000} + \frac{n}{2000}, 0), Y Intercepts : (0, 12)

Asymptotes : None

Extreme Points : Minimum (\frac{1}{4000} + \frac{1}{2000} n, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 12]

Solution steps

Periodicity of

12 cos^{2} (2000 π x) : \frac{1}{2000}

Domain of

12 cos^{2} (2000 π x) : - \infty < x < \infty

Range of

12 cos^{2} (2000 π x) : 0 \leq f (x) \leq 12

Axis interception points of

12 cos^{2} (2000 π x) :

X Intercepts

: (\frac{1}{4000} + \frac{n}{2000}, 0),

Y Intercepts

: (0, 12)

Asymptotes of

12 cos^{2} (2000 π x) :

None

Extreme Points of

12 cos^{2} (2000 π x) :

Minimum

(\frac{1}{4000} + \frac{1}{2000} n, 0)

Graph

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Frequently Asked Questions (FAQ)

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