Find a formula for the function graphed.
- $Find a formula for the function graphed. - A) f ( x ) = \left\{ \begin{array} { l l } 2 + x , & x < 2 \\ - 5 & x > 2 \end{array} \right. B) f ( x ) = \left\{ \begin{array} { l l } 2 - x & x < 2 \\ - 5 & x \geq 2 \end{array} \right. C) f ( x ) = \left\{ \begin{array} { l l } 2 - x , & x \leq 2 \\ - 5 & x > 2 \end{array} \right. D) f ( x ) = \left\{ \begin{array} { l l } 2 + x , & x \leq 2 \\ - 5 & x > 2 \end{array} \right.$

Question

Quizplus · Accepted Answer

The function starts at the point (2, 0) and goes down to (-4, -5). This means that for values less than or equal to 2, the function is decreasing, and for values greater than 2, the function is a constant -5. The formula that matches this behavior is given by Choice C.

Find a Formula for the Function Graphed f(x)={2+x,x<2−5x>2f ( x ) = \left\{ \begin{array} { l l } 2 + x , & x < 2 \\ - 5 & x > 2 \end{array} \right.f(x)={2+x,−5​x<2x>2​

Find a Formula for the Function Graphed $f ( x ) = \left\{ \begin{array} { l l } 2 + x , & x < 2 \\ - 5 & x > 2 \end{array} \right.$