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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Y Intercepts : (0, - 1)

Asymptotes : Slant y = x - 1

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

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

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

Axis interception points of

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

Y Intercepts

: (0, - 1)

Asymptotes of

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

Slant

: y = x - 1

Monotone Intervals of

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

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Popular Examples

f (x) = 4 x^{3} + 11

f(x)=-3+log_{2}(x-4),4<x<= 20

f (x) = - 3 + lo g_{2} (x - 4), 4 < x \leq 20

y = 3 x + 4

f (x) = sec^{2} (4 x)

f(x)=sinh^2(5x)

f (x) = sinh^{2} (5 x)

Frequently Asked Questions (FAQ)

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