Find a formula for the function graphed.
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A) $f ( x ) = \left\{ \begin{array} { l l } 2 , & 0 \leq x

Question

Find a formula for the function graphed.
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A) $f ( x ) = \left\{ \begin{array} { l l } 2 , & 0 \leq x < 6 \ 6 , & 2 \leq x < 8 \end{array} \right.$ 
B) $f ( x ) = \left\{ \begin{array} { l l } 2 , & 0 \leq x < 2 \ 6 , & 2 \leq x < 4 \ 2 , & 4 \leq x < 6 \ 6 , & 6 \leq x < 8 \end{array} \right.$ 
C) $f ( x ) = \left\{ \begin{array} { l l } 2 , & 0 \leq x \leq 2 \ 6 , & 2 < x \leq 4 \ 2 , & 4 < x \leq 6 \ 6 , & 6 < x \leq 8 \end{array} \right.$ 
D) $f ( x ) = \left\{ \begin{array} { l l } 6 , & 0 \leq x < 6 \ 2 , & 2 \leq x < 8 \end{array} \right.$

Quizplus · Accepted Answer

The graph shows a repeating pattern of an increase from 0 to 2, then a jump to 6 and back down to 2 before jumping back up to 6. This pattern repeats every 4 units on the x-axis. Therefore, option B is the correct choice as it matches this pattern with four separate intervals defined for the function. Choices A, C, and D do not match the pattern of the graph.

Find a Formula for the Function Graphed f(x)={2,0≤x<66,2≤x<8f ( x ) = \left\{ \begin{array} { l l } 2 , & 0 \leq x < 6 \\ 6 , & 2 \leq x < 8 \end{array} \right.f(x)={2,6,​0≤x<62≤x<8​

Find a Formula for the Function Graphed $f ( x ) = \left\{ \begin{array} { l l } 2 , & 0 \leq x < 6 \\ 6 , & 2 \leq x < 8 \end{array} \right.$