Question

Part A: A graph passes through the points (0,2), (1,3), and (2,4). Does this graph represent a linear function or a non-linear function? Explain your answer in words. Part B: Write one example of a linear function and one example of a nonlinear function. (Use x and y as the variables)

Answer 1

A) linear

B) y = x is linear; y = 1/x is non-linear

Explanation:

A) The points lie on the same straight line, so the function is linear.

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B) Any function that has x to a power other than 1 will be non-linear.

linear function: y = x

nonlinear function: y = x^-1 = 1/x