Determine from its graph if the function is one-to-one.
-$$f ( x ) = \left\{ \begin{array} { l l }
3 - x , & x \leq 2 \
1 - 4 x , & x 2
\end{array} \right.$$

Question

Determine from its graph if the function is one-to-one.
-$$f ( x ) = \left\{ \begin{array} { l l } 
3 - x , & x \leq 2 \
1 - 4 x , & x > 2
\end{array} \right.$$

Quizplus · Accepted Answer

The graph of the function consists of two lines intersecting at the point (2,1). Each value of x corresponds to exactly one value of y, both for values of x less than or equal to 2 and for values of x greater than 2. Therefore, the function is one-to-one.

Determine from Its Graph If the Function Is One-To-One f(x)={3−x,x≤21−4x,x>2f ( x ) = \left\{ \begin{array} { l l } 3 - x , & x \leq 2 \\1 - 4 x , & x > 2\end{array} \right.f(x)={3−x,1−4x,​x≤2x>2​

Determine from Its Graph If the Function Is One-To-One $f ( x ) = \left\{ \begin{array} { l l } 3 - x , & x \leq 2 \\1 - 4 x , & x > 2\end{array} \right.$