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Popular >

y=sin^2(x)-cos(x)+2

Solution

y = sin^{2} (x) - cos (x) + 2

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : 1 \leq f (x) \leq \frac{13}{4}

Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Minimum (2 πn, 1), Maximum (\frac{2 π}{3} + 2 πn, \frac{13}{4}), Minimum (π + 2 πn, 3), Maximum (\frac{4 π}{3} + 2 πn, \frac{13}{4})

+1

Solution steps

Periodicity of

sin^{2} (x) - cos (x) + 2 : 2 π

Domain of

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

Range of

sin^{2} (x) - cos (x) + 2 : 1 \leq f (x) \leq \frac{13}{4}

Axis interception points of

sin^{2} (x) - cos (x) + 2 :

Y Intercepts

: (0, 1)

Asymptotes of

sin^{2} (x) - cos (x) + 2 :

None

Extreme Points of

sin^{2} (x) - cos (x) + 2 :

Minimum

(2 πn, 1),

Maximum

(\frac{2 π}{3} + 2 πn, \frac{13}{4}),

Minimum

(π + 2 πn, 3),

Maximum

(\frac{4 π}{3} + 2 πn, \frac{13}{4})

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Frequently Asked Questions (FAQ)

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