What is the y={sqrt(x+2):x = 1} ?

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y={sqrt(x+2):x<1, x/(x^2-6x+8):x>= 1}

y = {x + 2 : x < 1, \frac{x}{x ^{2} - 6 x + 8} : x \geq 1}

Domain : - 2 \leq x < 2 or 2 < x < 4 or x > 4

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

Asymptotes : Vertical x = 2, x = 4, Horizontal y = 0

Monotone Intervals : Increasing : - 2 < x < 1, Increasing : 1 < x < 2, Increasing : 2 < x < 22, Decreasing : 22 < x < 4, Decreasing : 4 < x < \infty

Interval Notation

Domain : [- 2, 2) \cup (2, 4) \cup (4, \infty)

Solution steps

Domain of

{x + 2 : x < 1, \frac{x}{x ^{2} - 6 x + 8} : x \geq 1} : - 2 \leq x < 2 or 2 < x < 4 or x > 4

Axis interception points of

{x + 2 : x < 1, \frac{x}{x ^{2} - 6 x + 8} : x \geq 1} :

X Intercepts

: (- 2, 0),

Y Intercepts

: (0, 2)

Asymptotes of

{x + 2 : x < 1, \frac{x}{x ^{2} - 6 x + 8} : x \geq 1} :

Vertical

: x = 2, x = 4,

Horizontal

: y = 0

Monotone Intervals of

{x + 2 : x < 1, \frac{x}{x ^{2} - 6 x + 8} : x \geq 1} :

Increasing

: - 2 < x < 1,

Increasing

: 1 < x < 2,

Increasing

: 2 < x < 22,

Decreasing

: 22 < x < 4,

Decreasing

: 4 < x < \infty

f (L) = L

f (x) = e^{s i n (\frac{π}{x})}

f (x) = - 5 x

f (x) = \frac{2}{x + 1}

f (y) = 2 y

What is the y={sqrt(x+2):x<1, x/(x^2-6x+8):x>= 1} ?
The y={sqrt(x+2):x<1, x/(x^2-6x+8):x>= 1} is