What is the f(x)={2x+4:x>0,4-2x:x<0} ?

The f(x)={2x+4:x>0,4-2x:x<0} is

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f(x)={2x+4:x>0,4-2x:x<0}

f (x) = {2 x + 4 : x > 0, 4 - 2 x : x < 0}

Domain : x < 0 or x > 0

Intercepts : None

Asymptotes : Slant y = 2 x + 4, y = - 2 x + 4

Monotone Intervals : Decreasing : - \infty < x < 0, Increasing : 0 < x < \infty

Interval Notation

Domain : (- \infty, 0) \cup (0, \infty)

Solution steps

Domain of

{2 x + 4 : x > 0, 4 - 2 x : x < 0} : x < 0 or x > 0

Axis interception points of

{2 x + 4 : x > 0, 4 - 2 x : x < 0} :

None

Asymptotes of

{2 x + 4 : x > 0, 4 - 2 x : x < 0} :

Slant

: y = 2 x + 4, y = - 2 x + 4

Monotone Intervals of

{2 x + 4 : x > 0, 4 - 2 x : x < 0} :

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

f (x) = 2 x^{3} - 3 x^{2} - 12 x + 18

f (x) = lo g_{3} (x - 9)

y = sec^{2} (π x)

y = 3 - x - 3 x^{2}

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