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Popular >

f(x)={x+1:x<2,5-x:x>= 2}

Solution

f (x) = {x + 1 : x < 2, 5 - x : x \geq 2}

Solution

Domain : - \infty < x < \infty

X Intercepts : (- 1, 0), (5, 0), Y Intercepts : (0, 1)

Asymptotes : Slant y = - x + 5, y = x + 1

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

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

{x + 1 : x < 2, 5 - x : x \geq 2} : - \infty < x < \infty

Axis interception points of

{x + 1 : x < 2, 5 - x : x \geq 2} :

X Intercepts

: (- 1, 0), (5, 0),

Y Intercepts

: (0, 1)

Asymptotes of

{x + 1 : x < 2, 5 - x : x \geq 2} :

Slant

: y = - x + 5, y = x + 1

Monotone Intervals of

{x + 1 : x < 2, 5 - x : x \geq 2} :

Increasing

: - \infty < x < 2,

Decreasing

: 2 < x < \infty

Popular Examples

f(x)=(x^2+9)^{1/2}

f (x) = (x^{2} + 9)^{\frac{1}{2}}

f(x)=-x^2+12x-24

f (x) = - x^{2} + 12 x - 24

f(x)=x^2sqrt(x)-5x

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

f(x)=x^4-6x^3+8x^2+30x-65

f (x) = x^{4} - 6 x^{3} + 8 x^{2} + 30 x - 65

f(n)=7^{2n-1}+1

f (n) = 7^{2 n - 1} + 1

Frequently Asked Questions (FAQ)

What is the f(x)={x+1:x<2,5-x:x>= 2} ?
The f(x)={x+1:x<2,5-x:x>= 2} is