What is the f(x)=cos^4(x)-sin^2(x)+2cos^2(x)+1 ?

The f(x)=cos^4(x)-sin^2(x)+2cos^2(x)+1 is

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f(x)=cos^4(x)-sin^2(x)+2cos^2(x)+1

f (x) = cos^{4} (x) - sin^{2} (x) + 2 cos^{2} (x) + 1

Period : π

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq 4

X Intercepts : (\frac{π}{2} + πn, 0), Y Intercepts : (0, 4)

Asymptotes : None

Extreme Points : Maximum (πn, 4), Minimum (\frac{π}{2} + πn, 0)

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 4]

Solution steps

Periodicity of

cos^{4} (x) - sin^{2} (x) + 2 cos^{2} (x) + 1 : π

Domain of

cos^{4} (x) - sin^{2} (x) + 2 cos^{2} (x) + 1 : - \infty < x < \infty

Range of

cos^{4} (x) - sin^{2} (x) + 2 cos^{2} (x) + 1 : 0 \leq f (x) \leq 4

Axis interception points of

cos^{4} (x) - sin^{2} (x) + 2 cos^{2} (x) + 1 :

X Intercepts

: (\frac{π}{2} + πn, 0),

Y Intercepts

: (0, 4)

Asymptotes of

cos^{4} (x) - sin^{2} (x) + 2 cos^{2} (x) + 1 :

None

Extreme Points of

cos^{4} (x) - sin^{2} (x) + 2 cos^{2} (x) + 1 :

Maximum

(πn, 4),

Minimum

(\frac{π}{2} + πn, 0)

f (x) = \frac{x ^{2}}{2 - x - 4}

p (x) = x^{3} - 3 x^{2} - 10 x + 24

y = x^{4} + 12 x

f (x) = ∣ x - 3 ∣ + ∣ x - 1 ∣

f (- 1) = 3^{n}

What is the f(x)=cos^4(x)-sin^2(x)+2cos^2(x)+1 ?
The f(x)=cos^4(x)-sin^2(x)+2cos^2(x)+1 is