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question 25 points 3 if \\( f(x) = \\begin{cases} x, & x < 0 \\\\ 1, & …

Question

question 25 points 3

if \\( f(x) = \

$$\begin{cases} x, & x < 0 \\\\ 1, & 0 \\le x < 2 \\end{cases}$$

\\), then find the value of \\( f(x) \\) at \\( x = -3 \\).

-3

0

Explanation:

Identify the interval containing the input value

$$ x = -3 \implies -3 < 0 $$

Select the corresponding function rule

$$ f(x) = x \quad \text{for} \quad x < 0 $$

Evaluate the function

$$ f(-3) = -3 $$

Answer:

  • -3 (Correct answer)
  • 0