What is the f(x)={2-x:x>= 0,x+3:x<0} ?

The f(x)={2-x:x>= 0,x+3:x<0} is

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f(x)={2-x:x>= 0,x+3:x<0}

f (x) = {2 - x : x \geq 0, x + 3 : x < 0}

Domain : - \infty < x < \infty

X Intercepts : (2, 0), (- 3, 0), Y Intercepts : (0, 2)

Asymptotes : Slant y = - x + 2, y = x + 3

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

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

{2 - x : x \geq 0, x + 3 : x < 0} : - \infty < x < \infty

Axis interception points of

{2 - x : x \geq 0, x + 3 : x < 0} :

X Intercepts

: (2, 0), (- 3, 0),

Y Intercepts

: (0, 2)

Asymptotes of

{2 - x : x \geq 0, x + 3 : x < 0} :

Slant

: y = - x + 2, y = x + 3

Monotone Intervals of

{2 - x : x \geq 0, x + 3 : x < 0} :

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

f (x) = - 4 x^{2} - 3 x + 2

y = 5 x^{2} + 2 x - 1

g (x) = x^{\frac{4}{3}}

f (x) = x^{2} + 10 x^{4}

y = 5 x + sin (x)