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Warrocker · Answer 1 · 2023-02-12T03:20:45+0000

Answer:

$f(x)=\begin{cases}-(x+10),x<-5 \\ -3,x>2\end{cases}$

Step-by-step explanation:

We know that the function is a diagonal line between - infniity and -5.

The equation of the diagonal line is

Therefore, we can write

$f(x)=-(x+10)\text{ for -}\inftyNow between 2 and inifity, the function takes the value y = -3; therefore, we can write [tex]f(x)=-3,\text{ for 2Hence, the piecewise function is [tex]f(x)=\begin{cases}-(x+10),x<-5 \\ -3,x>2\end{cases}$

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