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Comparing Rates of Change in Linear and Non-Linear Graphs

Name: Comparing Rates of Change in Linear and Non-Linear Graphs — Algebra · Algebra — Grade 9 — iieFtCdY
Uploaded: 2026-09-06T23:03:48.823Z
Duration: 3 min 52 s
Description: Compare the rates of change of the two relationships below over the intervals $x = 1$ to $x = 2$ and $x = 3$ to $x = 4$. - **Relationship A (linear):** $y = 4x$ - **Relationship B (non-linear):** $y = x^2$ For each relationship and each interval, calculate the rate of change and explain what the results tell you about the graph.

Algebra · Algebra — Grade 9

Course: Algebra Book: Algebra — Grade 9

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Problem and lesson overview

Compare the rates of change of the two relationships below over the intervals

x = 1

x = 2

and

x = 3

x = 4

.

- Relationship A (linear):

y = 4x

- Relationship B (non-linear):

y = x^2

For each relationship and each interval, calculate the rate of change and explain what the results tell you about the graph.

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Comparing Rates of Change in Linear and Non-Linear Graphs

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