Find a formula for the function graphed. - A) $f ( x ) = \left\{ \begin{array} { l l } 1 - x & x 2 \end{array} \right.$ D) $f ( x ) = \left\{ \begin{array} { l l } 1 + x & x \leq 2 \ 7 & x 2 \end{array} \right.$

Question

Find a formula for the function graphed.
- $Find a formula for the function graphed. - A) f ( x ) = \left\{ \begin{array} { l l } 1 - x & x < 2 \\ 7 & x \geq 2 \end{array} \right. B) f ( x ) = \left\{ \begin{array} { r l } 1 + x & x < 2 \\ 7 & x > 2 \end{array} \right. C) f ( x ) = \left\{ \begin{array} { l l } 1 - x , & x \leq 2 \\ 7 & x > 2 \end{array} \right. D) f ( x ) = \left\{ \begin{array} { l l } 1 + x & x \leq 2 \\ 7 & x > 2 \end{array} \right.$

Quizplus · Accepted Answer

The graph shows a function that decreases linearly from (0,1) to (2, -1) and then jumps abruptly to (2, 7). This means that the function has two cases: one for $x\leq 2$ where it is decreasing linearly and another for $x>2$ where it is a constant 7. The formula that matches this behavior is option C.

Find a Formula for the Function Graphed f(x)={1−xx<27x≥2f ( x ) = \left\{ \begin{array} { l l } 1 - x & x < 2 \\ 7 & x \geq 2 \end{array} \right.f(x)={1−x7​x<2x≥2​

Find a Formula for the Function Graphed $f ( x ) = \left\{ \begin{array} { l l } 1 - x & x < 2 \\ 7 & x \geq 2 \end{array} \right.$