Find a formula for the function graphed.
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A) $f ( x ) = \left\{ \begin{array} { l } x + 6 & 0 \leq x \leq 3\ - x & 3

Question

Find a formula for the function graphed.
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A) $f ( x ) = \left\{ \begin{array} { l } x + 6 & 0 \leq x \leq 3\ - x & 3 < x \leq 6\end{array} \right.$ 
B) $f ( x ) = \left\{ \begin{array} { l l } - x , & 0 \leq x \leq 3 \ x + 6 , & 3 < x \leq 6 \end{array} \right.$ 
C) $f ( x ) = \left\{ \begin{array} { l l } 6 - x , & 0 \leq x \leq 3 \ x , & 3 < x \leq 6 \end{array} \right.$ 
D) $f ( x ) = \left\{ \begin{array} { l l } x , & 0 \leq x \leq 3 \ 6 - x , & 3 < x \leq 6 \end{array} \right.$

Quizplus · Accepted Answer

The graph starts at (0,0) and ends at (6,0). It is decreasing from 3 to 6, which means the function is subtracting from 6 as x increases from 3 to 6. Therefore, the correct formula is f(x) = x for 0 ≤ x ≤ 3 and f(x) = 6 - x for 3 < x ≤ 6, which matches option D.

Find a Formula for the Function Graphed f(x)={x+60≤x≤3−x3<x≤6f ( x ) = \left\{ \begin{array} { l } x + 6 & 0 \leq x \leq 3\\ - x & 3 < x \leq 6\end{array} \right.f(x)={x+6−x​0≤x≤33<x≤6​

Find a Formula for the Function Graphed $f ( x ) = \left\{ \begin{array} { l } x + 6 & 0 \leq x \leq 3\\ - x & 3 < x \leq 6\end{array} \right.$