Celeb Glow
general | April 10, 2026

Finding the range of a function given a specific domain

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The question is to "Find the range of each function over the given domain $f(x) = 1 / (2x + 5)$ for $-2 \le x \le 2$.

I'm not sure what this is asking me to do , specifically the part over the given domain.

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2 Answers

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General terminology:

  • Domain: all possible values of $x$
  • Range: all possible values of $f(x)$

Specific solution:

  • Domain: $-2 \leq x \leq 2$
  • Range: $\frac{1}{9} \leq f(x) \leq 1$
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They are asking you how $f(x)$ varies when $x$ varies in the range $[-2\ , 2]$.

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