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Popular >

f(x)=-cos(5x)

Solution

f (x) = - cos (5 x)

Solution

Period : \frac{2 π}{5}

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{π}{10} + \frac{2 πn}{5}, 0), (\frac{3 π}{10} + \frac{2 πn}{5}, 0), Y Intercepts : (0, - 1)

Asymptotes : None

Extreme Points : Minimum (\frac{2 π}{5} n, - 1), Maximum (\frac{π}{5} + \frac{2 π}{5} n, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

- cos (5 x) : \frac{2 π}{5}

Domain of

- cos (5 x) : - \infty < x < \infty

Range of

- cos (5 x) : - 1 \leq f (x) \leq 1

Axis interception points of

- cos (5 x) :

X Intercepts

: (\frac{π}{10} + \frac{2 πn}{5}, 0), (\frac{3 π}{10} + \frac{2 πn}{5}, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

- cos (5 x) :

None

Extreme Points of

- cos (5 x) :

Minimum

(\frac{2 π}{5} n, - 1),

Maximum

(\frac{π}{5} + \frac{2 π}{5} n, 1)

Popular Examples

integral of-(x^2)/x

\int - \frac{x ^{2}}{x} d x

derivative of (1-5x-x^2)/(x^2-3)derivative of

\frac{1 - 5 x - x ^{2}}{x ^{2} - 3}

(e^{2x}+4)y^'=y

(e^{2 x} + 4) y^{^{'}} = y

integral of (2x+1)^5

\int (2 x + 1)^{5} d x

y^{''}-2y^'-3y=3x^2-5

y^{^{''}} - 2 y^{^{'}} - 3 y = 3 x^{2} - 5

Frequently Asked Questions (FAQ)

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