What is the f(x)={2x-3:x>= 2,x^2-5:x<2} ?

The f(x)={2x-3:x>= 2,x^2-5:x<2} is

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f(x)={2x-3:x>= 2,x^2-5:x<2}

f (x) = {2 x - 3 : x \geq 2, x^{2} - 5 : x < 2}

Domain : - \infty < x < \infty

X Intercepts : (- 5, 0), Y Intercepts : (0, - 5)

Asymptotes : Slant y = 2 x - 3

Monotone Intervals : Decreasing : - \infty < x < 0, Increasing : 0 < x < 2, Increasing : 2 < x < \infty

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

{2 x - 3 : x \geq 2, x^{2} - 5 : x < 2} : - \infty < x < \infty

Axis interception points of

{2 x - 3 : x \geq 2, x^{2} - 5 : x < 2} :

X Intercepts

: (- 5, 0),

Y Intercepts

: (0, - 5)

Asymptotes of

{2 x - 3 : x \geq 2, x^{2} - 5 : x < 2} :

Slant

: y = 2 x - 3

Monotone Intervals of

{2 x - 3 : x \geq 2, x^{2} - 5 : x < 2} :

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

f (x) = \frac{x ^{2} - 4 x - 12}{x + 2}

f (x) = \frac{3 x}{2 - x}

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

f (C) = \frac{9}{5} C + 32

f (x) = \frac{2}{x - 9}