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 non-linear function. (Use x and y as the variables)

Answer 1

If its linear then the slope between the first 2 points will equal the slope between second and third points.

slope of r=first 2 = (3 - 2) / (1-0) = 1
slope 2nd & 3rd = (4-3) / (2-1) = 1 also

So the function is linear

B linear fuction could be 2x + 1
nonlinear = x^2