Problem preview
F-IF.6 Warmup M3-023-A05-V01

Calculate, estimate, and interpret average rate of change for advanced function types.

Estimate the average rate of change from two endpoints on a graph

Problem

Use graph endpoints \((2,~5)\) and \((6,~17)\) to find the average rate of change.

Big Picture

What this problem is really about

Treat the two plotted endpoints as a secant-slope problem. Read each coordinate with the graph scale, keep second-minus-first order for both vertical and horizontal changes, and divide rise by run. Because the endpoint readings may be estimated, the rate inherits that precision; its sign should agree with the secant's overall direction.

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Four variants of this problem type
Curriculum context
Course
Math III
Standard
F-IF.6
Category
Functions
Domain
Interpreting Functions
Objective
Calculate, estimate, and interpret average rate of change for advanced function types.
Problem type
Estimate the average rate of change from two endpoints on a graph