Problem preview
F-IF.6 Warmup M2-020-A04-V01

Calculate, estimate, and interpret average rate of change for quadratic functions.

Estimate the average rate of change of a quadratic from two points on its graph

Problem

Use this graph description to estimate the average rate of change: The graph passes near \((1,2)\) and \((5,18)\).

Big Picture

What this problem is really about

Estimating an average rate from a graph means the coordinate readings and the final rate share the same approximate precision. We’ll read the two endpoint points from the scale, build the secant’s rise and run in a consistent direction, and use the graph’s left-to-right motion to check the sign.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
F-IF.6
Category
Functions
Domain
Interpreting Functions
Objective
Calculate, estimate, and interpret average rate of change for quadratic functions.
Problem type
Estimate the average rate of change of a quadratic from two points on its graph