Question:
What is the equivalent definition of the function given by $f(X) = \begin{cases}
2x , & x \ge 0 \\
0,& x < 0
\end{cases} $ ?
What is the equivalent definition of the function given by $f(X) = \begin{cases}
2x , & x \ge 0 \\
0,& x < 0
\end{cases} $ ?
Updated On: Jul 7, 2022
- f (x) = | x |
- f (x) = 2x
- f (x) = | x | + x
- f (x) = 2 | x |
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The Correct Option is C
Solution and Explanation
The given function is $f(x) = \begin{cases}
2x , & x \ge 0 \\
0,& x < 0
\end{cases} $
The equation can be re-written as
$f(x) = \begin{cases}
x + x , & x \ge 0 \\
-x + x ,& x < 0
\end{cases} $
Hence, equivalent definition of given function is f (x) = | x | + x
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