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Popular Functions >

f(x)=sin(4x+5)

Solution

f (x) = sin (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{π}{2} + \frac{πn}{2}, 0), (\frac{3 π}{4} - \frac{5}{4} + \frac{πn}{2}, 0), Y Intercepts : (0, sin (5))

Asymptotes : None

Extreme Points : Maximum (\frac{- 10 + 5 π}{8} + \frac{π}{2} n, 1), Minimum (\frac{- 10 + 7 π}{8} + \frac{π}{2} n, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

sin (4 x + 5) : \frac{π}{2}

Domain of

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

Range of

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

Axis interception points of

sin (4 x + 5) :

X Intercepts

: (- \frac{5}{4} + \frac{π}{2} + \frac{πn}{2}, 0), (\frac{3 π}{4} - \frac{5}{4} + \frac{πn}{2}, 0),

Y Intercepts

: (0, sin (5))

Asymptotes of

sin (4 x + 5) :

None

Extreme Points of

sin (4 x + 5) :

Maximum

(\frac{- 10 + 5 π}{8} + \frac{π}{2} n, 1),

Minimum

(\frac{- 10 + 7 π}{8} + \frac{π}{2} n, - 1)

Graph

Popular Examples

f(x)=-2log_{2}(x+2)+4

y=(sqrt(1+4x^2))/(sqrt(1-4x^2))

f(x)=-2x^2-4x-18

p(x)=(x-2)(x+1)(x+3)

Frequently Asked Questions (FAQ)

What is the f(x)=sin(4x+5) ?
The f(x)=sin(4x+5) is