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Popular >

y=cos^3(1-x)

Solution

y = cos^{3} (1 - x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

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

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

Asymptotes : None

Extreme Points : Maximum (1 + 2 πn, 1), Saddle (\frac{2 + π}{2} + 2 πn, 0), Minimum (π + 1 + 2 πn, - 1), Saddle (\frac{2 + 3 π}{2} + 2 πn, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

cos^{3} (1 - x) : 2 π

Domain of

cos^{3} (1 - x) : - \infty < x < \infty

Range of

cos^{3} (1 - x) : - 1 \leq f (x) \leq 1

Axis interception points of

cos^{3} (1 - x) :

X Intercepts

: (1 + \frac{3 π}{2} + 2 πn, 0), (1 + \frac{π}{2} + 2 πn, 0),

Y Intercepts

: (0, cos^{3} (1 - 0))

Asymptotes of

cos^{3} (1 - x) :

None

Extreme Points of

cos^{3} (1 - x) :

Maximum

(1 + 2 πn, 1),

Saddle

(\frac{2 + π}{2} + 2 πn, 0),

Minimum

(π + 1 + 2 πn, - 1),

Saddle

(\frac{2 + 3 π}{2} + 2 πn, 0)

Popular Examples

y = \frac{x ^{2}}{8}

f (x) = 4 x^{3} + 5 x^{2}

f(y)=26y^2-62y-169

f (y) = 26 y^{2} - 62 y - 169

f(x)=sqrt(x^2+4x-7)

f (x) = x^{2} + 4 x - 7

y = \frac{4 x ^{2} - x + 3}{5}

Frequently Asked Questions (FAQ)

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