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Drag the tiles to the table to classify the functions as linear or nonlinear.

User Gonso
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The classification of the functions as linear or nonlinear is as follows:

Linear Functions:

a) f(x) = 2x - 1

c) g(x) = -0.5x + 3

Nonlinear Functions:

b) h(x) = x^2 + 3

d) k(x) = sin(x)

A linear function is known by its constant rate of change or slope. There is a proportional change in the output following a change in the input.

A nonlinear function does not have a constant rate of change because the change in output is not proportional to the change in the input.

Function b: h(x) = x^2 + 3 is a quadratic function and function d) k(x) = sin(x) is a sinusoidal function, which are nonlinear functions.

Complete Question:

Drag the tiles to the table to classify the functions as linear or nonlinear.

a) f(x) = 2x - 1

b) h(x) = x^2 + 3

c) g(x) = -0.5x + 3

d) k(x) = sin(x)

User Purple Dragon
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