Question

Express the function graphed on the axes below as a piecewise function.10864138DI26810-6

Answer 1

Answer:

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

Explanation:

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

The equation of the diagonal line is

$y=-(x+10)$

Therefore, we can write

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