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Popular Functions >

Solution

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

Solution

Domain : - \infty < x < \infty

Y Intercepts : (0, a)

Asymptotes : None

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

+1

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

Graph

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Frequently Asked Questions (FAQ)

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