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Popular >

f(x)={2x+1:x<0,2x+2:x>= 0}

Solution

f (x) = {2 x + 1 : x < 0, 2 x + 2 : x \geq 0}

Solution

Domain : - \infty < x < \infty

X Intercepts : (- \frac{1}{2}, 0), Y Intercepts : (0, 2)

Asymptotes : Slant y = 2 x + 2, y = 2 x + 1

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

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

{2 x + 1 : x < 0, 2 x + 2 : x \geq 0} : - \infty < x < \infty

Axis interception points of

{2 x + 1 : x < 0, 2 x + 2 : x \geq 0} :

X Intercepts

: (- \frac{1}{2}, 0),

Y Intercepts

: (0, 2)

Asymptotes of

{2 x + 1 : x < 0, 2 x + 2 : x \geq 0} :

Slant

: y = 2 x + 2, y = 2 x + 1

Monotone Intervals of

{2 x + 1 : x < 0, 2 x + 2 : x \geq 0} :

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Popular Examples

f(x)=2x^2+14x+49

f (x) = 2 x^{2} + 14 x + 49

f(y)=log_{5}(y)

f (y) = lo g_{5} (y)

f (x) = x^{2} - 12 x - 4

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

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

f (x) = - (\frac{1}{5})^{x}

Frequently Asked Questions (FAQ)

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