Martin Logan
07/11/2023 · Primary School
\( f(x)=\left\{\begin{array}{cc}x-3 & \text { if } x \leq 2 \\ -5 x+4 & \text { if } x>2\end{array}\right. \)
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The given function is defined as follows:
\[ f(x)=\left\{\begin{array}{cc}x-3 & \text { if } x \leq 2 \\ -5x+4 & \text { if } x>2\end{array}\right. \]
This function is defined piecewise, meaning it has different expressions for different intervals of \( x \).
For \( x \leq 2 \), the function is \( f(x) = x - 3 \).
For \( x > 2 \), the function is \( f(x) = -5x + 4 \).
If you have any specific questions or tasks related to this function, please let me know how I can assist you further.
Quick Answer
The function \( f(x) \) is piecewise defined. For \( x \leq 2 \), \( f(x) = x - 3 \); for \( x > 2 \), \( f(x) = -5x + 4 \).
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