What is the f(x)={x+2:x 3} ?

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f(x)={x+2:x<0,x^2-1:0<= x<= 3,8:x>3}

f (x) = {x + 2 : x < 0, x^{2} - 1 : 0 \leq x \leq 3, 8 : x > 3}

Domain : - \infty < x < \infty

X Intercepts : (- 2, 0), (1, 0), Y Intercepts : (0, - 1)

Asymptotes : Horizontal y = 8, Slant y = x + 2

Monotone Intervals : Increasing : - \infty < x < 0, Increasing : 0 < x < 3, Constant : 3 < x < \infty

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

{x + 2 : x < 0, x^{2} - 1 : 0 \leq x \leq 3, 8 : x > 3} : - \infty < x < \infty

Axis interception points of

{x + 2 : x < 0, x^{2} - 1 : 0 \leq x \leq 3, 8 : x > 3} :

X Intercepts

: (- 2, 0), (1, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

{x + 2 : x < 0, x^{2} - 1 : 0 \leq x \leq 3, 8 : x > 3} :

Horizontal

: y = 8,

Slant

: y = x + 2

Monotone Intervals of

{x + 2 : x < 0, x^{2} - 1 : 0 \leq x \leq 3, 8 : x > 3} :

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < 3,

Constant

: 3 < x < \infty

f (x) = 3 - sin (x)

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

f (x) = 4 x^{3} + 3 x^{2} + 6 x + 5

f (x) = x + ln (1 - x)

f (x) = x^{10} \cdot e^{2 x}

What is the f(x)={x+2:x<0,x^2-1:0<= x<= 3,8:x>3} ?
The f(x)={x+2:x<0,x^2-1:0<= x<= 3,8:x>3} is