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Popular >

f(x)=cos^2(x)

Solution

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

Solution

Period : π

Domain : - \infty < x < \infty

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

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 1]

Solution steps

Periodicity of

cos^{2} (x) : π

Domain of

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

Range of

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

Axis interception points of

cos^{2} (x) :

X Intercepts

: (\frac{π}{2} + πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

cos^{2} (x) :

None

Extreme Points of

cos^{2} (x) :

Maximum

(πn, 1),

Minimum

(\frac{π}{2} + πn, 0)

Popular Examples

parity f(x)=(3x+5)/(x-2)parity

f (x) = \frac{3 x + 5}{x - 2}

domain of (x/(x+1))/(x/(x+1)+1)domain

\frac{\frac{x}{x + 1}}{\frac{x}{x + 1} + 1}

slope of y=8x-5 slope

y = 8 x - 5

intercepts of f(x)=5x+2 intercepts

f (x) = 5 x + 2

domain of f(x)=sqrt(8+7x)domain

f (x) = 8 + 7 x

Frequently Asked Questions (FAQ)

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