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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

X Intercepts : (- \frac{1}{2}, 0), (4, 0), Y Intercepts : (0, - 1)

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

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

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

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

Axis interception points of

{- 2 x - 1 : x \leq 2, - x + 4 : x > 2} :

X Intercepts

: (- \frac{1}{2}, 0), (4, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

{- 2 x - 1 : x \leq 2, - x + 4 : x > 2} :

Slant

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

Monotone Intervals of

{- 2 x - 1 : x \leq 2, - x + 4 : x > 2} :

Decreasing

: - \infty < x < 2,

Decreasing

: 2 < x < \infty

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Frequently Asked Questions (FAQ)

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