Question

The graph of a piece wise-defined function is given. Write a definition for that best describes this graph. (-22), (0,0),(2,2)

Answer 1

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Answer:

f(x) = {x ≤ 0: -x, 0 < x ≤ 4: 4 -x}

Explanation:

`\displaystyle f(x)=\begin{cases}-x&\text{for }x\le0\\4-x&\text{for }0<x\le4\end{cases}`

The graph is of the line y = -x for x ≤ 0 and of the line y = -x +4 for the interval (0, 4].

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Additional comment

There's not a really good way to specify piecewise functions in plain text. The method used in the Answer section matches that used by the Desmos online graphing calculator. It is of the form {condition: value, condition: value, ...}.