1 Answer

Brad M · Answer 1 · 2022-07-29T04:05:48+0000

Answer:

B.
$y= \left \{ {{x^(2)+4,\,x< 2 } \atop {-x+4,\,x \ge 2}} \right.$

Explanation:

The piecewise function consists in two functions:

(i) A vertical parabola directed in the +x direction and centered at
V(x,y) = (0, 4) for all
$x \in (-\infty, 2)$ . That is:

y = x^(2)+4 ,
x < 2

(ii) A line with negative slope for all
$x \in [2, +\infty)$ .

y = -x+4 ,
$x \ge 2$

The correct answer is B.

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