Compare functions represented algebraically, graphically, numerically, or verbally.
Determine what information is missing to compare functions
Problem
A comparison asks whether \(\text{one}~\text{function}\) is larger for all \(x\), but supplies only \(\text{one}~\text{table}~\text{value}\). Explain why the evidence is insufficient and state the additional scope or information needed.
Big Picture
What this problem is really about
Match the scope of the conclusion to the scope of the evidence. One table row supports a comparison at one input, while a statement about every input requires information covering the entire common domain. That broader evidence could come from function rules, complete graphs, or every row of an explicitly finite domain.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
