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Popular >

y=cos(4x+5)

Solution

y = cos (4 x + 5)

Solution

Period : \frac{π}{2}

Domain : - \infty < x < \infty

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

X Intercepts : (- \frac{5}{4} + \frac{5 π}{8} + \frac{πn}{2}, 0), (- \frac{5}{4} + \frac{7 π}{8} + \frac{πn}{2}, 0), Y Intercepts : (0, cos (5))

Asymptotes : None

Extreme Points : Maximum (\frac{- 5 + 2 π}{4} + \frac{π}{2} n, 1), Minimum (\frac{3 π - 5}{4} + \frac{π}{2} n, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

cos (4 x + 5) : \frac{π}{2}

Domain of

cos (4 x + 5) : - \infty < x < \infty

Range of

cos (4 x + 5) : - 1 \leq f (x) \leq 1

Axis interception points of

cos (4 x + 5) :

X Intercepts

: (- \frac{5}{4} + \frac{5 π}{8} + \frac{πn}{2}, 0), (- \frac{5}{4} + \frac{7 π}{8} + \frac{πn}{2}, 0),

Y Intercepts

: (0, cos (5))

Asymptotes of

cos (4 x + 5) :

None

Extreme Points of

cos (4 x + 5) :

Maximum

(\frac{- 5 + 2 π}{4} + \frac{π}{2} n, 1),

Minimum

(\frac{3 π - 5}{4} + \frac{π}{2} n, - 1)

Popular Examples

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h (x) = - 2 x^{2} + 12 x - 17

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f (t) = \frac{2 t}{1 + t ^{2}}

y = (\frac{x}{x + 1})^{2}

Frequently Asked Questions (FAQ)

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