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Which of the following has a constant rate of change over the entire domain? Select all that apply.
To determine which graphs represent functions with a constant rate of change over their entire domain, consider the mathematical nature of the function depicted by each graph. Linear functions, represented by equations of the form y=mx+b, where m and b are constants, have a constant rate of change; this rate is depicted as the slope m. In contrast, non-linear functions such as quadratic, exponential, logarithmic, or trigonometric functions do not have a constant rate of change throughout their domain due to their curvature or varying rates of increase or decrease.
Box 1: Select all correct answers