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Popular >

f(x)=sin(2x)

Solution

f (x) = sin (2 x)

Solution

Period : π

Domain : - \infty < x < \infty

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

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

sin (2 x) : π

Domain of

sin (2 x) : - \infty < x < \infty

Range of

sin (2 x) : - 1 \leq f (x) \leq 1

Axis interception points of

sin (2 x) :

X Intercepts

: (πn, 0), (\frac{π}{2} + πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin (2 x) :

None

Extreme Points of

sin (2 x) :

Maximum

(\frac{π}{4} + πn, 1),

Minimum

(\frac{3 π}{4} + πn, - 1)

Popular Examples

extreme 1/5 x^5-3x^3 extreme points

\frac{1}{5} x^{5} - 3 x^{3}

extreme f(x)=sin(x)+cos(x)extreme points

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

inverse of f(x)=(x-12)/4 inverse

f (x) = \frac{x - 12}{4}

simplify (-2.2)(9)simplify

(- 2.2) (9)

intercepts of y=x^2-1 intercepts

y = x^{2} - 1

Frequently Asked Questions (FAQ)

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