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Popular >

f(x)=-4cos^2(x)

Solution

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

Solution

Period : π

Domain : - \infty < x < \infty

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

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 4, 0]

Solution steps

Periodicity of

- 4 cos^{2} (x) : π

Domain of

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

Range of

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

Axis interception points of

- 4 cos^{2} (x) :

X Intercepts

: (\frac{π}{2} + πn, 0),

Y Intercepts

: (0, - 4)

Asymptotes of

- 4 cos^{2} (x) :

None

Extreme Points of

- 4 cos^{2} (x) :

Minimum

(πn, - 4),

Maximum

(\frac{π}{2} + πn, 0)

Popular Examples

y=1.5(x-0.5)^2-1

y = 1.5 (x - 0.5)^{2} - 1

f(x)=x^3*sin(x)

f (x) = x^{3} \cdot sin (x)

y = - 2 x + 25

y = - 4 x^{2} - 2 x

f (x) = \frac{( x - 2 )}{3}

Frequently Asked Questions (FAQ)

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