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Popular >

f(x)=sin(4x)

Solution

f (x) = sin (4 x)

Solution

Period : \frac{π}{2}

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{πn}{2}, 0), (\frac{π}{4} + \frac{πn}{2}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (\frac{π}{8} + \frac{π}{2} n, 1), Minimum (\frac{3 π}{8} + \frac{π}{2} n, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

sin (4 x) : \frac{π}{2}

Domain of

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

Range of

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

Axis interception points of

sin (4 x) :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

sin (4 x) :

None

Extreme Points of

sin (4 x) :

Maximum

(\frac{π}{8} + \frac{π}{2} n, 1),

Minimum

(\frac{3 π}{8} + \frac{π}{2} n, - 1)

Popular Examples

domain of f(x)=(x+3)/(x+2)domain

f (x) = \frac{x + 3}{x + 2}

domain of f(x)=6-x+1/x domain

f (x) = 6 - x + \frac{1}{x}

domain of 1/x-4 domain

\frac{1}{x} - 4

domain of f(x)= 6/(x-2)domain

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

slope ofintercept y-4=3(x-3)slope intercept

y - 4 = 3 (x - 3)

Frequently Asked Questions (FAQ)

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