Question

Ayo someone help me please

Answer 1

Answer:

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

Step-by-step 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.