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The Graph of a Piecewise-Defined Function Is Given B) C)

Question 191

Multiple Choice

The graph of a piecewise-defined function is given. Write a definition for the function.
- The graph of a piecewise-defined function is given. Write a definition for the function. -   A)   f ( x )  = \left\{ \begin{array} { l l } \frac { 4 } { 3 } x - 4 & \text { if } - 3 \leq x \leq 0 \\ \frac { 2 } { 3 } x & \text { if } 0 \leq x \leq 3 \end{array} \right.  B)   f ( x )  = \left\{ \begin{array} { l l } \frac { 3 } { 4 } x + 4 & \text { if } - 3 \leq x \leq 0 \\ \frac { 3 } { 2 } x & \text { if } 0 < x \leq 3 \end{array} \right.  C)   f ( x )  = \left\{ \begin{array} { l l }  \frac { 4 } { 3 } x + 4 & \text { if } - 3 \leq x \leq 0 \\ \frac { 2 } { 3 } x + 2 & \text { if } 0 < x \leq 3 \end{array} \right.   D)   f ( x )  = \left\{ \begin{array} { l l }  \frac { 4 } { 3 } x + 4 & \text { if } - 3 \leq x \leq 0 \\ \frac { 2 } { 3 } x & \text { if } 0 < x \leq 3 \end{array} \right.


A)
f(x) ={43x4 if 3x023x if 0x3f ( x ) = \left\{ \begin{array} { l l } \frac { 4 } { 3 } x - 4 & \text { if } - 3 \leq x \leq 0 \\ \frac { 2 } { 3 } x & \text { if } 0 \leq x \leq 3 \end{array} \right.
B)
f(x) ={34x+4 if 3x032x if 0<x3f ( x ) = \left\{ \begin{array} { l l } \frac { 3 } { 4 } x + 4 & \text { if } - 3 \leq x \leq 0 \\ \frac { 3 } { 2 } x & \text { if } 0 < x \leq 3 \end{array} \right.
C)
f(x) ={43x+4 if 3x023x+2 if 0<x3f ( x ) = \left\{ \begin{array} { l l } \frac { 4 } { 3 } x + 4 & \text { if } - 3 \leq x \leq 0 \\\frac { 2 } { 3 } x + 2 & \text { if } 0 < x \leq 3\end{array} \right.

D)
f(x) ={43x+4 if 3x023x if 0<x3f ( x ) = \left\{ \begin{array} { l l } \frac { 4 } { 3 } x + 4 & \text { if } - 3 \leq x \leq 0 \\\frac { 2 } { 3 } x & \text { if } 0 < x \leq 3\end{array} \right.

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