Determine if functions are linear or nonlinear when represented as tables, graphs, and equations.
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The tables below show some input and output values for two different functions.
Determine if each table represents a linear or nonlinear function.
Determine which equations below represent linear functions. Be prepared to justify your reasoning.
Equation 1: $${y = x^2 +1}$$
Equation 2: $${y=2x+1}$$
Equation 3: $${y={x \over 2}}$$
Equation 4: $${y=x^3}$$
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Which of the equations listed below are linear equations?
Equation 1: $${C={2\pi}r}$$
Equation 2: $${A={\pi}r^2}$$
Equation 3: $${V={4\over3}{\pi}r^3}$$
From EngageNY.org of the New York State Education Department. New York State Testing Program Grade 8 Common Core Mathematics Test Released Questions May 2016. Internet. Available from https://www.engageny.org/resource/released-2016-3-8-ela-and-mathematics-state-test-questions/file/148616; accessed Oct. 27, 2017, 10:44 a.m..
Complete the table so it represents a linear function.
$$x$$ | $$y$$ |
2 | 0 |
4 | |
5 | 18 |
7 |
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