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Popular >

f(x)=4cos(4x+pi/4)+5

Solution

f (x) = 4 cos (4 x + \frac{π}{4}) + 5

Solution

Period : \frac{π}{2}

Domain : - \infty < x < \infty

Range : 1 \leq f (x) \leq 9

Y Intercepts : (0, 22 + 5)

Asymptotes : None

Extreme Points : Minimum (\frac{3 π}{16} + \frac{π}{2} n, 1), Maximum (\frac{7 π}{16} + \frac{π}{2} n, 9)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [1, 9]

Solution steps

Periodicity of

4 cos (4 x + \frac{π}{4}) + 5 : \frac{π}{2}

Domain of

4 cos (4 x + \frac{π}{4}) + 5 : - \infty < x < \infty

Range of

4 cos (4 x + \frac{π}{4}) + 5 : 1 \leq f (x) \leq 9

Axis interception points of

4 cos (4 x + \frac{π}{4}) + 5 :

Y Intercepts

: (0, 22 + 5)

Asymptotes of

4 cos (4 x + \frac{π}{4}) + 5 :

None

Extreme Points of

4 cos (4 x + \frac{π}{4}) + 5 :

Minimum

(\frac{3 π}{16} + \frac{π}{2} n, 1),

Maximum

(\frac{7 π}{16} + \frac{π}{2} n, 9)

Popular Examples

y=-sin(3x+pi)-1

y = - sin (3 x + π) - 1

x = sin^{3} (t)

y = ln (1 - 2 x)

f (x) = x + 2

f (x) = \frac{9}{x - 9}

Frequently Asked Questions (FAQ)

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