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) (10 points)
Part A: This graph does not represent a linear function. A linear function is a function that can be represented by a straight line, and in this case, the points (0, 2), (1, 3), and (2, 4) do not form a straight line. The graph appears to be curving upwards, indicating a non-linear relationship between the x and y values.
Part B:
Linear function example: y = 2x + 1
Non-linear function example: y = x^2 - 3x + 2