Back to Describe qualitatively the functional relationship between two quantities by analyzing a graph — Problem 4 · Task Set 18

Exercises: Describe Qualitatively the Functional Relationship Between Two Quantities by Analyzing a Graph

Work through each section in order. For these problems, you describe and sketch graphs using words like increasing, decreasing, constant, linear, and nonlinear. You do not need exact numbers — focus on direction, shape, and relative steepness.

Grade 8·21 problems·~30 min·Common Core Math - Grade 8·container·8-f-b-5

Work through problems with immediate feedback

Fluency Practice

$A two-segment line on a Time vs Speed graph: a steep rise followed by a gentler rise.$

This graph shows the speed of a car over time. A student points to the steepest section and says, 'The car is moving fastest here.' Is that correct?

No — on a speed graph, a steep section means the speed is changing quickly (fast acceleration), not that the speed is highest.

Yes — a steeper section always means the object is moving faster.

No — a steep section means the car has stopped.