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Popular >

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

Solution

f (x) = {x^{2} : x < 1, - x^{3} : x \geq 1}

Solution

Domain : - \infty < x < \infty

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

Asymptotes : None

Monotone Intervals : Decreasing : - \infty < x < 0, Increasing : 0 < x < 1, Decreasing : 1 < x < \infty

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

{x^{2} : x < 1, - x^{3} : x \geq 1} : - \infty < x < \infty

Axis interception points of

{x^{2} : x < 1, - x^{3} : x \geq 1} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

{x^{2} : x < 1, - x^{3} : x \geq 1} :

None

Monotone Intervals of

{x^{2} : x < 1, - x^{3} : x \geq 1} :

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 1,

Decreasing

: 1 < x < \infty

Popular Examples

y=(x^3+1)/(x^2+2)

y = \frac{x ^{3} + 1}{x ^{2} + 2}

f(x)=2x^2-20x+57

f (x) = 2 x^{2} - 20 x + 57

y=\sqrt[3]{x+1}-2

f(x)=sqrt(2x+2)+sqrt(6-4x)

f (x) = 2 x + 2 + 6 - 4 x

y = cos (2 π) x

Frequently Asked Questions (FAQ)

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