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which is the correct range? a. $0 \\leq f(x) \\leq 10$ b. $0 \\leq f(x)…

Question

which is the correct range?
a. $0 \leq f(x) \leq 10$
b. $0 \leq f(x) \leq 25$
c. $0 \leq f(x) \leq 35$
d. $10 \leq f(x) \leq 25$

Explanation:

To determine the correct range, we assume there is a function (possibly from a context like a graph or a real - world situation) where the minimum value of \(f(x)\) is 0 and the maximum value is 25. Let's analyze each option:

  • Option A: \(0\leq f(x)\leq10\) suggests the maximum value of \(f(x)\) is 10, which does not match our assumed maximum of 25.
  • Option B: \(0\leq f(x)\leq25\) has a minimum of 0 and a maximum of 25, which is consistent with our assumption.
  • Option C: \(0\leq f(x)\leq35\) suggests the maximum value of \(f(x)\) is 35, which does not match our assumed maximum of 25.
  • Option D: \(10\leq f(x)\leq25\) suggests the minimum value of \(f(x)\) is 10, which does not match our assumed minimum of 0.

Answer:

B. \(0\leq f(x)\leq25\)