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Popular >

f(x)=cos^2(2x)

Solution

f (x) = cos^{2} (2 x)

Solution

Period : \frac{π}{2}

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq 1

X Intercepts : (\frac{π}{4} + \frac{πn}{2}, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (\frac{π}{2} n, 1), Minimum (\frac{π}{4} + \frac{π}{2} n, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 1]

Solution steps

Periodicity of

cos^{2} (2 x) : \frac{π}{2}

Domain of

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

Range of

cos^{2} (2 x) : 0 \leq f (x) \leq 1

Axis interception points of

cos^{2} (2 x) :

X Intercepts

: (\frac{π}{4} + \frac{πn}{2}, 0),

Y Intercepts

: (0, 1)

Asymptotes of

cos^{2} (2 x) :

None

Extreme Points of

cos^{2} (2 x) :

Maximum

(\frac{π}{2} n, 1),

Minimum

(\frac{π}{4} + \frac{π}{2} n, 0)

Popular Examples

intercepts of (2x-4)/(x^2-6x+8)intercepts

\frac{2 x - 4}{x ^{2} - 6 x + 8}

monotone f(x)=x^3-3/2 x^2 monotone intervals

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

slope ofintercept 2x+y=7 slope intercept

2 x + y = 7

range of 5^x range

5^{x}

line y=x-3 line

y = x - 3

Frequently Asked Questions (FAQ)

What is the f(x)=cos^2(2x) ?
The f(x)=cos^2(2x) is