Question

find \\(f(3)\\) for the piece-wise function.

\\f(x) = \

$$\begin{cases} x + 2, & x < 1 \\\\ x - 1, & x \\ge 1 \\end{cases}$$

\\

• 2
• 1
• 3
• 5

Explanation:

Determine the correct interval for the input

$$ x = 3 \implies 3 \ge 1 $$

Evaluate the corresponding function piece

$$ f(3) = 3 - 1 = 2 $$

Answer:

• (A) 2 (Correct answer)
• (B) 1
• (C) 3
• (D) 5