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Popular >

y=3+sin^4(x)+cos^4(x)

Solution

y = 3 + sin^{4} (x) + cos^{4} (x)

Solution

Period : π

Domain : - \infty < x < \infty

Range : \frac{7}{2} \leq f (x) \leq 4

Y Intercepts : (0, 4)

Asymptotes : None

Extreme Points : Maximum (πn, 4), Minimum (\frac{π}{4} + πn, \frac{7}{2}), Maximum (\frac{π}{2} + πn, 4), Minimum (\frac{3 π}{4} + πn, \frac{7}{2})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{7}{2}, 4]

Solution steps

Periodicity of

3 + sin^{4} (x) + cos^{4} (x) : π

Domain of

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

Range of

3 + sin^{4} (x) + cos^{4} (x) : \frac{7}{2} \leq f (x) \leq 4

Axis interception points of

3 + sin^{4} (x) + cos^{4} (x) :

Y Intercepts

: (0, 4)

Asymptotes of

3 + sin^{4} (x) + cos^{4} (x) :

None

Extreme Points of

3 + sin^{4} (x) + cos^{4} (x) :

Maximum

(πn, 4),

Minimum

(\frac{π}{4} + πn, \frac{7}{2}),

Maximum

(\frac{π}{2} + πn, 4),

Minimum

(\frac{3 π}{4} + πn, \frac{7}{2})

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Frequently Asked Questions (FAQ)

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