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.

Question

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

Part A: This graph represents a linear function. A linear function is a function where the rate of change between any two points on the graph is constant. In this case, we can observe that the difference in the y-coordinates (vertical change) between any two points is the same as the difference in the x-coordinates (horizontal change). Therefore, the graph represents a linear function.

Part B:
Example of a linear function: y = 2x + 1
Example of a non-linear function: y = x^2 + 1