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Popular >

f(x)=1+cos^2(x)

Solution

f (x) = 1 + cos^{2} (x)

Solution

Period : π

Domain : - \infty < x < \infty

Range : 1 \leq f (x) \leq 2

Y Intercepts : (0, 2)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [1, 2]

Solution steps

Periodicity of

1 + cos^{2} (x) : π

Domain of

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

Range of

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

Axis interception points of

1 + cos^{2} (x) :

Y Intercepts

: (0, 2)

Asymptotes of

1 + cos^{2} (x) :

None

Extreme Points of

1 + cos^{2} (x) :

Maximum

(πn, 2),

Minimum

(\frac{π}{2} + πn, 1)

Popular Examples

domain of x-2+(x^2)/(sqrt(x^2-9))domain

x - 2 + \frac{x ^{2}}{x ^{2} - 9}

inverse of f(x)=((3x^2-2x+7))/(2x+5)inverse

f (x) = \frac{( 3 x ^{2} - 2 x + 7 )}{2 x + 5}

domain of f(x)= 9/(sqrt(x+2))domain

f (x) = \frac{9}{x + 2}

domain of f(x)=sqrt(16+x^2)-sqrt(x+1)domain

f (x) = 16 + x^{2} - x + 1

domain of f(x)=-2^x+1 domain

f (x) = - 2^{x} + 1

Frequently Asked Questions (FAQ)

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