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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.

Ishamel
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2 Answers2

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They are asking you how $f(x)$ varies when $x$ varies in the range $[-2\ , 2]$.

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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: $\frac{1}{9} \leq f(x) \leq 1$
barak manos
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  • How did you arrive at the values for the solution of the range? – Ishamel May 26 '14 at 14:30
  • @Ishamel: In the given domain, the function is continuous and monotonously decreasing. So I just calculated the value of the function at the end-points. In other words, I calculated $f(-2)$ and $f(2)$. – barak manos May 26 '14 at 14:33