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F-IF.9 Warmup M2-025-A07-V02

Compare function properties across representations, especially quadratic comparisons.

Compare two function values at the same input across representations

Problem

Compare table A and graph B at \(x=4\). Read \(A(4)=10\) from the table, interpret the graph point \((4,7)\) as \(B(4)=7\), and compare the \(\text{two}~\text{output}~\text{coordinates}\) rather than the shared input.

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Graph B has the greater value because the point (4,7) is on graph B, so B is greater at x=4.

Table A has the greater value because A(4)=10 and the graph point (4,7) means B(4)=7, so 10 is greater than 7.

The two representations have the same value because they both use x=4, so A and B are equal at that input.

Graph B has the greater value because the point shows x=4, so B(4)=4, and 4 is greater than 10.

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Curriculum context

Course: Math II
Standard: F-IF.9
Category: Functions
Domain: Interpreting Functions
Objective: Compare function properties across representations, especially quadratic comparisons.
Problem type: Compare two function values at the same input across representations