Part A: A graph passes through the points (0, 4), (1, 8), and (2, 10). 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 represents a non-linear function because it does not form a straight line when the points are connected. The points create a curve, indicating that the relationship between the x and y values is not constant.
Part B:
Example of a linear function: y = 2x + 3
This is a linear function because it forms a straight line when plotted on a graph. The relationship between x and y is constant, with a slope of 2 and a y-intercept of 3.
Example of a non-linear function: y = x^2
This is a non-linear function because it forms a parabolic curve when plotted on a graph. The relationship between x and y is not constant, and the exponent of 2 indicates that the rate of change is squared.