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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

Asymptotes : Slant y = x + 3

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

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

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

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

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

Slant

: y = x + 3

Monotone Intervals of

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

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Popular Examples

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f (x) = sin^{2} (2 x) \cdot cos^{2} (2 x)

f(x)= x/(\sqrt[4]{9-x^2)}

f (x) = 2 ln (x) + 3

Frequently Asked Questions (FAQ)

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