Find a formula for the function graphed. - A) $f ( x ) = \left\{ \begin{array} { l l } 1 , & x 3 \end{array} \right.$ D) $f ( x ) = \left\{ \begin{array} { l l } 1 , & x

Question

Find a formula for the function graphed.
- $Find a formula for the function graphed. - A) f ( x ) = \left\{ \begin{array} { l l } 1 , & x < 0 \\ 1 - x , & x \geq 0 \end{array} \right. B) f ( x ) = \left\{ \begin{array} { l l } 1 , & x < 3 \\ 1 - x , & x > 3 \end{array} \right. C) f ( x ) = \left\{ \begin{array} { l l } 1 , & x \leq 3 \\ 1 - x , & x > 3 \end{array} \right. D) f ( x ) = \left\{ \begin{array} { l l } 1 , & x < 3 \\ x - 1 , & x \geq 3 \end{array} \right.$

Quizplus · Accepted Answer

The graph starts at the point $(3,0)$ which implies that $f(3)=0$. Therefore, the function must have a piecewise definition where it equals $1$ for $x$ less than or equal to $3$, and equals $1-x$ for $x$ greater than $3$. Option C is the only one that matches this description.

Find a Formula for the Function Graphed f(x)={1,x<01−x,x≥0f ( x ) = \left\{ \begin{array} { l l } 1 , & x < 0 \\ 1 - x , & x \geq 0 \end{array} \right.f(x)={1,1−x,​x<0x≥0​

Find a Formula for the Function Graphed $f ( x ) = \left\{ \begin{array} { l l } 1 , & x < 0 \\ 1 - x , & x \geq 0 \end{array} \right.$