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Popular >

f(x)=3cos(5x+pi)+3

Solution

f (x) = 3 cos (5 x + π) + 3

Solution

Period : \frac{2 π}{5}

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq 6

X Intercepts : (\frac{2 πn}{5}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (\frac{2 π}{5} n, 0), Maximum (\frac{π}{5} + \frac{2 π}{5} n, 6)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 6]

Solution steps

Periodicity of

3 cos (5 x + π) + 3 : \frac{2 π}{5}

Domain of

3 cos (5 x + π) + 3 : - \infty < x < \infty

Range of

3 cos (5 x + π) + 3 : 0 \leq f (x) \leq 6

Axis interception points of

3 cos (5 x + π) + 3 :

X Intercepts

: (\frac{2 πn}{5}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

3 cos (5 x + π) + 3 :

None

Extreme Points of

3 cos (5 x + π) + 3 :

Minimum

(\frac{2 π}{5} n, 0),

Maximum

(\frac{π}{5} + \frac{2 π}{5} n, 6)

Popular Examples

f(x)=(x-3)/(x^2-x-6)

f (x) = \frac{x - 3}{x ^{2} - x - 6}

y = x^{2} + 8 x - 6

periodicity of f(x)=cos(2x)cos(4x)periodicity

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

f(x)=(cos(x)-sin(x))/(cos(x)+sin(x))

f (x) = \frac{cos ( x ) - sin ( x )}{cos ( x ) + sin ( x )}

y = \frac{1}{x ^{2} - 9}

Frequently Asked Questions (FAQ)

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