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Popular >

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

Solution

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

Solution

Period : π

Domain : - \infty < x < \infty

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

Y Intercepts : (0, 1)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [1, 2]

Solution steps

Periodicity of

2 sin^{2} (x) + cos^{2} (x) : π

Domain of

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

Range of

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

Axis interception points of

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

Y Intercepts

: (0, 1)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(πn, 1),

Maximum

(\frac{π}{2} + πn, 2)

Popular Examples

f(x)=(sqrt(x))/(1+\sqrt[3]{x)}

h(x)=sqrt(4-x)+sqrt(x^2-1)

h (x) = 4 - x + x^{2} - 1

f(x)=3cos^2(x)+sin^2(x)

f (x) = 3 cos^{2} (x) + sin^{2} (x)

f (x) = 4 x^{2} - x - 10

y = 16 (2)^{x} - 6

Frequently Asked Questions (FAQ)

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