Calculate, estimate, and interpret average rate of change over an interval.
Match an average-rate statement to interval notation
Problem
Express the average-rate interval from \(x~=~2\) through \(x~=~7\) in interval notation.
Big Picture
What this problem is really about
Turning an average-rate statement into interval notation requires two decisions: endpoint order and endpoint inclusion. We’ll place the smaller input on the left, interpret the word “through” to determine whether both boundary values belong, and translate that inclusion into delimiters. The equivalent compound inequality provides a quick check on both the order and the symbols.
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