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Popular >

f(x)={x^2-9:x<4,5x-2:x>= 4}

Solution

f (x) = {x^{2} - 9 : x < 4, 5 x - 2 : x \geq 4}

Solution

Domain : - \infty < x < \infty

X Intercepts : (3, 0), (- 3, 0), Y Intercepts : (0, - 9)

Asymptotes : Slant y = 5 x - 2

Monotone Intervals : Decreasing : - \infty < x < 0, Increasing : 0 < x < 4, Increasing : 4 < x < \infty

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

{x^{2} - 9 : x < 4, 5 x - 2 : x \geq 4} : - \infty < x < \infty

Axis interception points of

{x^{2} - 9 : x < 4, 5 x - 2 : x \geq 4} :

X Intercepts

: (3, 0), (- 3, 0),

Y Intercepts

: (0, - 9)

Asymptotes of

{x^{2} - 9 : x < 4, 5 x - 2 : x \geq 4} :

Slant

: y = 5 x - 2

Monotone Intervals of

{x^{2} - 9 : x < 4, 5 x - 2 : x \geq 4} :

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 4,

Increasing

: 4 < x < \infty

Popular Examples

f(x)=(2x+2)/(x+4)

f (x) = \frac{2 x + 2}{x + 4}

G(z)=(z+2)^2(z+1)(z+3)-5z(z+4)-27

G (z) = (z + 2)^{2} (z + 1) (z + 3) - 5 z (z + 4) - 27

f (x) = 4 x^{2} - 16

f(x)=\sqrt[3]{x^2-8x+6}

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

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

Frequently Asked Questions (FAQ)

What is the f(x)={x^2-9:x<4,5x-2:x>= 4} ?
The f(x)={x^2-9:x<4,5x-2:x>= 4} is