Question

Just need a little help and to double-check my answer

Answer 1

Answer:

Part A:

The correct option is C.

The graph represents the function:

`\begin{cases}-(1)/(2)x,x\le0 \\ x,x>0\end{cases}`

Part B:

The average rate of change is 1

Step-by-step explanation:

Part A:

The graph is represents the function:

`\begin{cases}-(1)/(2)x,x\le0 \\ x,x>0\end{cases}`

Part B:

The average rate of change on the interval -3 < x < -1 is

`\begin{gathered} (f(-1)-f(-3))/(-3-(-1)) \\ \\ =(-(1)/(2)(-1)-\lbrack-(1)/(2)(-3)\rbrack)/(-3+1) \\ \\ =(-(1)/(2)-(3)/(2))/(-2) \\ \\ =(-2)/(-2)=1 \end{gathered}`