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Popular Functions >

f(x)={-x+4:x<1,2x+1:x>= 1}

Solution

f (x) = {- x + 4 : x < 1, 2 x + 1 : x \geq 1}

Solution

Domain : - \infty < x < \infty

Y Intercepts : (0, 4)

Asymptotes : Slant y = 2 x + 1, y = - x + 4

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

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

{- x + 4 : x < 1, 2 x + 1 : x \geq 1} : - \infty < x < \infty

Axis interception points of

{- x + 4 : x < 1, 2 x + 1 : x \geq 1} :

Y Intercepts

: (0, 4)

Asymptotes of

{- x + 4 : x < 1, 2 x + 1 : x \geq 1} :

Slant

: y = 2 x + 1, y = - x + 4

Monotone Intervals of

{- x + 4 : x < 1, 2 x + 1 : x \geq 1} :

Decreasing

: - \infty < x < 1,

Increasing

: 1 < x < \infty

Graph

Popular Examples

u(x)=((2x+3))/((x-1))

f(x)=(sqrt(x))/(1+x^2)

Frequently Asked Questions (FAQ)

What is the f(x)={-x+4:x<1,2x+1:x>= 1} ?
The f(x)={-x+4:x<1,2x+1:x>= 1} is