Problem

Find $f(3)$.
Which piece of the function should be used to find $f(3)$ ?
\[
f(x)=\left\{\begin{array}{ll}
x+2 & \text { if } x< 1 \\
x-1 & \text { if } x \geq 1
\end{array}\right.
\]
$x+2$
$x-1$

Answer

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Answer

Final Answer: \(f(3) = \boxed{2}\)

Steps

Step 1 :The function is defined as \(f(x)=\left\{\begin{array}{ll} x+2 & \text { if } x<1 \\ x-1 & \text { if } x \geq 1 \end{array}\right.\)

Step 2 :We need to find \(f(3)\).

Step 3 :Since 3 is greater than 1, we should use the second piece of the function, \(x-1\), to find \(f(3)\).

Step 4 :Substitute \(x = 3\) into \(x - 1\) to get \(f(3) = 2\).

Step 5 :Final Answer: \(f(3) = \boxed{2}\)

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