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Popular >

f(x)={x^2-4:x<3,2x-1:x>= 3}

Solution

f (x) = {x^{2} - 4 : x < 3, 2 x - 1 : x \geq 3}

Solution

Domain : - \infty < x < \infty

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

Asymptotes : Slant y = 2 x - 1

Monotone Intervals : Decreasing : - \infty < x < 0, Increasing : 0 < x < 3, Increasing : 3 < x < \infty

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

{x^{2} - 4 : x < 3, 2 x - 1 : x \geq 3} : - \infty < x < \infty

Axis interception points of

{x^{2} - 4 : x < 3, 2 x - 1 : x \geq 3} :

X Intercepts

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

Y Intercepts

: (0, - 4)

Asymptotes of

{x^{2} - 4 : x < 3, 2 x - 1 : x \geq 3} :

Slant

: y = 2 x - 1

Monotone Intervals of

{x^{2} - 4 : x < 3, 2 x - 1 : x \geq 3} :

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 3,

Increasing

: 3 < x < \infty

Popular Examples

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

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f (x) = 4 x (sin (x) + cos (x))

f(x)=(sqrt(x+11)-sqrt(11))/x

f (x) = \frac{x + 11 - 11}{x}

f(x)=sqrt(25-5^x)

f (x) = 25 - 5^{x}

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

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

Frequently Asked Questions (FAQ)

What is the f(x)={x^2-4:x<3,2x-1:x>= 3} ?
The f(x)={x^2-4:x<3,2x-1:x>= 3} is