Input & Output Tolerances for a Linear Function

On this page, you can examine what input tolerance tolerance, δ, is necessary for a given output tolerance, ε We examine this only for a linear function of the form

More specifically, we discuss the input and output tolerances for this function in the context of the limit of f(x) as x → c. The user inputs the values of m, b, c, and ε In addition, the user inputs the minimum & maximum x-values for plotting, x_min and x_max, respectively. Note that the results are not meaningful when m = 0.