Which of the following is the range of the function $P=g(x)=\left\{\begin{array}{cc}-x+6, & x \leq-2 \ 8, & -23\end{array}\right.$ ? A) $ P \geq 8$ B) $-8 \leq P \leq 8$ C) $ P \geq-8$ D) all real numbers

Question

Which of the following is the range of the function $P=g(x)=\left\{\begin{array}{cc}-x+6, & x \leq-2 \ 8, & -2<x \leq 3 \ x+5, & x>3\end{array}\right.$ ?
A) $ P \geq 8$
B) $-8 \leq P \leq 8$
C) $ P \geq-8$
D) all real numbers

Quizplus · Accepted Answer

The range of the function is the set of all possible output values. The output values are -x+6, 8, and x+5. The smallest output value is -8, which occurs when x=-2. The largest output value is 8, which occurs when -2<x<=3. Therefore, the range of the function is -8<=P<=8.

Which of the Following Is the Range of the Function P=g(x)={−x+6,x≤−28,−2<x≤3x+5,x>3P=g(x)=\left\{\begin{array}{cc}-x+6, & x \leq-2 \\ 8, & -2<x \leq 3 \\ x+5, & x>3\end{array}\right.P=g(x)=⎩⎨⎧​−x+6,8,x+5,​x≤−2−2<x≤3x>3​

Which of the Following Is the Range of the Function $P=g(x)=\left\{\begin{array}{cc}-x+6, & x \leq-2 \\ 8, & -2<x \leq 3 \\ x+5, & x>3\end{array}\right.$