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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Y Intercepts : (0, - 4)

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

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

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

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

Axis interception points of

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

Y Intercepts

: (0, - 4)

Asymptotes of

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

Slant

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

Monotone Intervals of

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

Increasing

: - \infty < x < 2,

Decreasing

: 2 < x < \infty

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Frequently Asked Questions (FAQ)

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