Problem preview
F-IF.6 Warmup M2-020-A01-V01

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

Find the average rate of change from two given points

Problem

Calculate the average rate of change between points \((1,3)\) and \((4,15)\).

Big Picture

What this problem is really about

Average rate of change is the slope of the secant joining two input-output points. We’ll find the output change and input change in the same point order, divide them, and check that the sign and rise reconstructed from the rate fit the movement between the points.

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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
Find the average rate of change from two given points