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Popular Functions >

f(x)=sin^2(x)+2cos^2(x)+1

Solution

f (x) = sin^{2} (x) + 2 cos^{2} (x) + 1

Solution

Period : π

Domain : - \infty < x < \infty

Range : 2 \leq f (x) \leq 3

Y Intercepts : (0, 3)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [2, 3]

Solution steps

Periodicity of

sin^{2} (x) + 2 cos^{2} (x) + 1 : π

Domain of

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

Range of

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

Axis interception points of

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

Y Intercepts

: (0, 3)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(πn, 3),

Minimum

(\frac{π}{2} + πn, 2)

Graph

Popular Examples

f(x)=sqrt(18-2x)-3,1<= x<= 7

f(x)= 4/(sin(x))+2

y=arccot(x)+arctan((2+x)/(1-2x))

f(x)=((x+2)/3)^x

Frequently Asked Questions (FAQ)

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