3.3Rates of Change and Behavior of Graphs
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Chemistry that uses this algebra — the answer to why you are learning it.
- Alongside14.7Acid-Base Titrations
The titration curve's four named stages (initial, pre-equivalence gradual rise, equivalence sharp jump, post-equivalence gradual rise again) are a rate-of-change description of the pH-vs-volume function, and the text explicitly contrasts the gradual and abrupt regions — the same vocabulary algebra:3.4 teaches for reading a graph's behavior.
- Applies17.1Chemical Reaction Rates
Average rate = −Δ[A]/Δt is the average-rate-of-change formula (f(x₂)−f(x₁))/(x₂−x₁) with concentration as output and time as input, and the instantaneous rate read from a tangent line to the concentration-vs-time curve is the same idea at a single point — reaction rates are the first place that already-learned slope machinery pays off on real data.