1 Answer

Skellertor · Answer 1 · 2020-11-14T17:15:07+0000

Answer:

$A.\:y=\left \{ {{x^3-3,x\le2} \atop {x^2+6,\:x>2}} \right.$

Explanation:

The quadratic function has equation
y=x^2+6 and the cubic function has equation
x^3-3 .

The function
y=x^2+6 is defined on the interval
$x\:>\:2$ .

The function
y=x^3-3 is defined on the interval
$x\:\le 2$

The required piece-wise function is

$y=\left \{ {{x^3-3,x\le2} \atop {x^2+6,\:x>2}} \right.$

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