Back to Interpret the equation y = mx + b as defining a linear function — Problem 3 · Task Set 16

Exercises: Linear and Nonlinear Functions

Work through each section in order. Show your work where indicated. For each function, remember the key test: a function is linear when its rate of change is constant.

Grade 8·22 problems·~30 min·Common Core Math - Grade 8·container·8-f-a-3

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Fluency Practice

A table shows $(1, 5), (2, 8), (3, 11), (4, 14)$ , where $x$ increases by $1$ each row. Is the function linear or nonlinear?

Linear, because the rate of change is a constant 3

Nonlinear, because the y-values keep getting larger