Problem preview
F-IF.6 Warmup M1-024-A02-V01

Calculate, estimate, and interpret average rate of change over an interval.

Calculate average rate of change from a table on a given interval

Problem

Use the table below to calculate the average rate of change from \(x=0\) to \(x=3\).

Big Picture

What this problem is really about

The stated interval tells us exactly which two table rows belong in the average-rate calculation. We’ll pair each endpoint input with its output, ignore rows outside the interval, and form ending output minus starting output over ending input minus starting input. That quotient measures change per input unit, not merely the total output change.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
F-IF.6
Category
Functions
Domain
Interpreting Functions
Objective
Calculate, estimate, and interpret average rate of change over an interval.
Problem type
Calculate average rate of change from a table on a given interval