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Popular >

y=-1/2 cos(2x)

Solution

y = - \frac{1}{2} cos (2 x)

Solution

Period : π

Domain : - \infty < x < \infty

Range : - \frac{1}{2} \leq f (x) \leq \frac{1}{2}

X Intercepts : (\frac{π}{4} + πn, 0), (\frac{3 π}{4} + πn, 0), Y Intercepts : (0, - \frac{1}{2})

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{2}, \frac{1}{2}]

Solution steps

Periodicity of

- \frac{1}{2} cos (2 x) : π

Domain of

- \frac{1}{2} cos (2 x) : - \infty < x < \infty

Range of

- \frac{1}{2} cos (2 x) : - \frac{1}{2} \leq f (x) \leq \frac{1}{2}

Axis interception points of

- \frac{1}{2} cos (2 x) :

X Intercepts

: (\frac{π}{4} + πn, 0), (\frac{3 π}{4} + πn, 0),

Y Intercepts

: (0, - \frac{1}{2})

Asymptotes of

- \frac{1}{2} cos (2 x) :

None

Extreme Points of

- \frac{1}{2} cos (2 x) :

Minimum

(πn, - \frac{1}{2}),

Maximum

(\frac{π}{2} + πn, \frac{1}{2})

Popular Examples

g (x) = - x^{4} + 8 x^{2}

f (x) = ∣ x - 2 ∣ + 5

y=(1-x^2)/(x+2)

y = \frac{1 - x ^{2}}{x + 2}

f (x) = 3 \cdot sin (x)

y = ln (2 x + 5)

Frequently Asked Questions (FAQ)

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