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Popular >

f(x)={x+2:x<1,-2x+8:x>= 1}

Solution

f (x) = {x + 2 : x < 1, - 2 x + 8 : x \geq 1}

Solution

Domain : - \infty < x < \infty

X Intercepts : (- 2, 0), (4, 0), Y Intercepts : (0, 2)

Asymptotes : Slant y = - 2 x + 8, y = x + 2

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

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

{x + 2 : x < 1, - 2 x + 8 : x \geq 1} : - \infty < x < \infty

Axis interception points of

{x + 2 : x < 1, - 2 x + 8 : x \geq 1} :

X Intercepts

: (- 2, 0), (4, 0),

Y Intercepts

: (0, 2)

Asymptotes of

{x + 2 : x < 1, - 2 x + 8 : x \geq 1} :

Slant

: y = - 2 x + 8, y = x + 2

Monotone Intervals of

{x + 2 : x < 1, - 2 x + 8 : x \geq 1} :

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Popular Examples

U(x)=80x-x^2-(650+8x)

U (x) = 80 x - x^{2} - (650 + 8 x)

f(x)=(x^2+x-6)/(x^3-1)

f (x) = \frac{x ^{2} + x - 6}{x ^{3} - 1}

f(x)=3-2e^{x-4}

f (x) = 3 - 2 e^{x - 4}

y = - \frac{5}{8} x^{3}

f(x)=x^3+3x^2+x+1

f (x) = x^{3} + 3 x^{2} + x + 1

Frequently Asked Questions (FAQ)

What is the f(x)={x+2:x<1,-2x+8:x>= 1} ?
The f(x)={x+2:x<1,-2x+8:x>= 1} is