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Popular >

f(x)={sin(x):x<0,2x:x>= 0}

Solution

f (x) = {sin (x) : x < 0, 2 x : x \geq 0}

Solution

Domain : - \infty < x < \infty

X Intercepts : (2 πn, 0), (π + 2 πn, 0), (0, 0), Y Intercepts : (0, 0)

Asymptotes : Slant y = 2 x

Monotone Intervals : Increasing : 2 πn \leq x < \frac{π}{2} + 2 πn, Decreasing : \frac{π}{2} + 2 πn < x < \frac{3 π}{2} + 2 πn, Increasing : \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn, Increasing : 0 < x < \infty

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

{sin (x) : x < 0, 2 x : x \geq 0} : - \infty < x < \infty

Axis interception points of

{sin (x) : x < 0, 2 x : x \geq 0} :

X Intercepts

: (2 πn, 0), (π + 2 πn, 0), (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

{sin (x) : x < 0, 2 x : x \geq 0} :

Slant

: y = 2 x

Monotone Intervals of

{sin (x) : x < 0, 2 x : x \geq 0} :

Increasing

: 2 πn \leq x < \frac{π}{2} + 2 πn,

Decreasing

: \frac{π}{2} + 2 πn < x < \frac{3 π}{2} + 2 πn,

Increasing

: \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn,

Increasing

: 0 < x < \infty

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f (x) = {x^{2} + a : x \leq 2, 2 x^{2} + \frac{a}{2} x - 4 : x > 2}

f (x) = ln (x - 2)

f (x) = 2 x + 9

f (x) = 10 x

Frequently Asked Questions (FAQ)

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