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Popular >

y=4+cos^2(x)

Solution

y = 4 + cos^{2} (x)

Solution

Period : π

Domain : - \infty < x < \infty

Range : 4 \leq f (x) \leq 5

Y Intercepts : (0, 5)

Asymptotes : None

Extreme Points : Maximum (πn, 5), Minimum (\frac{π}{2} + πn, 4)

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Solution steps

Periodicity of

4 + cos^{2} (x) : π

Domain of

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

Range of

4 + cos^{2} (x) : 4 \leq f (x) \leq 5

Axis interception points of

4 + cos^{2} (x) :

Y Intercepts

: (0, 5)

Asymptotes of

4 + cos^{2} (x) :

None

Extreme Points of

4 + cos^{2} (x) :

Maximum

(πn, 5),

Minimum

(\frac{π}{2} + πn, 4)

Popular Examples

f(x)=-(x+4)^2+2

f (x) = - (x + 4)^{2} + 2

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f (x) = \frac{4 x + 4}{x ^{2} + 6 x + 5}

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f (x) = (x - 3)^{2} (x + 1)

f(t)=e^t*cos(t)

f (t) = e^{t} \cdot cos (t)

y = 5 x^{2} - 3

Frequently Asked Questions (FAQ)

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