Algebra-1

A. "This is a nonlinear function because it's y-intercept is (0,2)" . The y-intercept is indeed (0,2), but we still cannot determine whether the function is nonlinear or not.

Without more points or additional information about the function (such as its slope), you cannot definitively confirm if the function is nonlinear solely based on the y-intercept. For example, there are linear functions that can also have a specific y-intercept, such as linear function. Therefore, y-intercept alone is not always sufficient to determine linearity.

B. "This is a nonlinear function because it does not have a constant rate of change" - This is correct. This function does not have a constant rate of change (slope).

Let's...