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

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 } x \geq 0 \end{array} \right.

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 } x > 0 \end{array} \right.

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}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 } x > 0\end{array} \right. \right.

Find and Simplify the Difference Quotient of F f(x+h)−f(x)h\frac { f ( x + h ) - f ( x ) } { h }hf(x+h)−f(x)​

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Find and Simplify the Difference Quotient of F $\frac { f ( x + h ) - f ( x ) } { h }$

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