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

The f(x)={2x-1:x>2, x/2+1:x<= 2} is

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

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

Domain : - \infty < x < \infty

X Intercepts : (- 2, 0), Y Intercepts : (0, 1)

Asymptotes : Slant y = 2 x - 1, y = \frac{1}{2} x + 1

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

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

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

Axis interception points of

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

X Intercepts

: (- 2, 0),

Y Intercepts

: (0, 1)

Asymptotes of

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

Slant

: y = 2 x - 1, y = \frac{1}{2} x + 1

Monotone Intervals of

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

Increasing

: - \infty < x < 2,

Increasing

: 2 < x < \infty

y = \frac{x}{2} + 7

f (x) = 6 x^{2} - 6 x - 36

f (x) = \frac{- 3 + x}{9 - 6 x + x ^{2}}

f (x) = ∣ x - 4 ∣ - 3 ∣ x + 1 ∣ + 2 ∣ x ∣ - x + 2

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