What is the f(x)={x^2+a:x 2} ?

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f(x)={x^2+a:x<= 2,2x^2+a/2 x-4:x>2}

f (x) = {x^{2} + a : x \leq 2, 2 x^{2} + \frac{a}{2} x - 4 : x > 2}

Domain : - \infty < x < \infty

Y Intercepts : (0, a)

Asymptotes : None

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

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

{x^{2} + a : x \leq 2, 2 x^{2} + \frac{a}{2} x - 4 : x > 2} : - \infty < x < \infty

Axis interception points of

{x^{2} + a : x \leq 2, 2 x^{2} + \frac{a}{2} x - 4 : x > 2} :

Y Intercepts

: (0, a)

Asymptotes of

{x^{2} + a : x \leq 2, 2 x^{2} + \frac{a}{2} x - 4 : x > 2} :

None

Monotone Intervals of

{x^{2} + a : x \leq 2, 2 x^{2} + \frac{a}{2} x - 4 : x > 2} :

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 2,

Constant

: 2 < x < \infty

f (x) = ln (x - 2)

f (x) = 2 x + 9

f (x) = 10 x

y = 2 - x^{2}

f (x) = 5 - 2 x

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