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question 22 points 2 if \\(f(x) = \\begin{cases} 4x - 1 & \\text{if } -…

Question

question 22 points 2

if \\(f(x) = \

$$\begin{cases} 4x - 1 & \\text{if } -2 < x < 3 \\\\ 5x + 3 & \\text{if } 4 < x < 6 \\end{cases}$$

\\), then find the value of \\(f(x)\\) at \\(x = 1\\).

\\(\bigcirc\\) 3
\\(\bigcirc\\) 8

Explanation:

Identify the interval containing x = 1

$$ 1 \in (-2, 3) \implies -2 < 1 < 3 $$

Evaluate the corresponding function piece

$$ f(1) = 4(1) - 1 = 3 $$

Answer:

  • 3 (Correct answer)
  • 8