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

Question

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

Quizplus · Accepted Answer

The graph starts at (0,0) and goes up to (3,3) with a slope of 1, and then starts at (3,3) and goes down to (6,0) with a slope of -1. This matches the formula in Choice C, where the function is defined piecewise to have a slope of 1 on the interval [0,3] and a slope of -1 on the interval (3,6].

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

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