Rewrite the function as a piecewise function.
-$f(x)=-|x+5|-2$
A) $f(x)=\left\{\begin{array}{l}x-3 \text { if } x

Question

Rewrite the function as a piecewise function.
-$f(x)=-|x+5|-2$
A) $f(x)=\left\{\begin{array}{l}x-3 \text { if } x<-5 \ -x-7 \text { if } x \geq-5\end{array}\right.$

B) $f(x)=\left\{\begin{array}{r}-x+3 \text { if } x<-5 \ x-7 \text { if } x \geq-5\end{array}\right.$

C) $f(x)=\left\{\begin{array}{l}x+3 \text { if } x<-5 \ -x+7 \text { if } x \geq-5\end{array}\right.$

D) $f(x)=\left\{\begin{array}{l}x+3 \text { if } x<-5 \ -x-7 \text { if } x \geq-5\end{array}\right.$

Quizplus · Accepted Answer

The function is negative for all values of x, so the piecewise function should have a negative sign in both cases. The constant term in the first case should be 3, and the constant term in the second case should be -7.

Rewrite the Function as a Piecewise Function f(x)=−∣x+5∣−2f(x)=-|x+5|-2f(x)=−∣x+5∣−2 A) f(x)={x−3 if x<−5−x−7 if x≥−5f(x)=\left\{\begin{array}{l}x-3 \text { if } x<-5 \\ -x-7 \text { if } x \geq-5\end{array}\right.f(x)={x−3 if x<−5−x−7 if x≥−5​

Rewrite the Function as a Piecewise Function $f(x)=-|x+5|-2$ A) $f(x)=\left\{\begin{array}{l}x-3 \text { if } x<-5 \\ -x-7 \text { if } x \geq-5\end{array}\right.$