Problem preview

F-IF.4 Warmup M1-022-A05-V01

Interpret and sketch key graph/table features in context: intercepts, intervals, maxima/minima, symmetry, end behavior, and periodicity.

Find maximum and minimum values from a table

Problem

Use the representation below to identify every maximum and minimum value and where each occurs.

Table with x values 0, 1, 2, and 3 and f of x values 5, 9, 7, and 4.

Big Picture

What this problem is really about

Maximum and minimum refer to function outputs, so scan the entire output column before looking back at inputs. We’ll identify the greatest and least displayed values, then trace each one across its row to the input where it occurs. Reporting both coordinates prevents confusing extreme x-values with extreme function values.

Answer choices

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Preview only

maximum is 7 at x = 2; minimum is 5 at x = 0

maximum is 9 at x = 3; minimum is 4 at x = 1

maximum is 9 at x = 1; minimum is 4 at x = 3

maximum is 3 at x = 3; minimum is 0 at x = 0

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Curriculum context

Course: Math I
Standard: F-IF.4
Category: Functions
Domain: Interpreting Functions
Objective: Interpret and sketch key graph/table features in context: intercepts, intervals, maxima/minima, symmetry, end behavior, and periodicity.
Problem type: Find maximum and minimum values from a table