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Popular >

f(x)= 6/(cos^2(x)+1)

Solution

f (x) = \frac{6}{cos ^{2} ( x ) + 1}

Solution

Period : π

Domain : - \infty < x < \infty

Range : 3 \leq f (x) \leq 6

Y Intercepts : (0, 3)

Asymptotes : None

Extreme Points : Minimum (πn, 3), Maximum (\frac{π}{2} + πn, 6)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [3, 6]

Solution steps

Periodicity of

\frac{6}{cos ^{2} ( x ) + 1} : π

Domain of

\frac{6}{cos ^{2} ( x ) + 1} : - \infty < x < \infty

Range of

\frac{6}{cos ^{2} ( x ) + 1} : 3 \leq f (x) \leq 6

Axis interception points of

\frac{6}{cos ^{2} ( x ) + 1} :

Y Intercepts

: (0, 3)

Asymptotes of

\frac{6}{cos ^{2} ( x ) + 1} :

None

Extreme Points of

\frac{6}{cos ^{2} ( x ) + 1} :

Minimum

(πn, 3),

Maximum

(\frac{π}{2} + πn, 6)

Popular Examples

f(x)=(cos(1))/x

f (x) = \frac{cos ( 1 )}{x}

f(x)=(sin^3(x))/(cos^{22)(x)}

f (x) = \frac{sin ^{3} ( x )}{cos ^{22} ( x )}

f(x)=7x^2-21x+36

f (x) = 7 x^{2} - 21 x + 36

f(x)=(-x^2+3x+9)/4

f (x) = \frac{- x ^{2} + 3 x + 9}{4}

y=e^{arcsin(x)}

y = e^{a r c s i n (x)}

Frequently Asked Questions (FAQ)

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