Distinguish additive change from multiplicative change in tables, graphs, and contexts.
Read the type of change from a rule
Problem
Classify \(y~=~x~+~6\) as additive or multiplicative.
Big Picture
What this problem is really about
Read the rule by asking what operation transforms an input into its output. A fixed amount added to the input and a fixed factor multiplying the input describe different structures, so focus on the operation rather than merely noticing that values increase. Testing a few consecutive inputs can confirm the classification without changing the rule.
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