f(x) = 1 − e−4x 1 + e−4x using a suitable step size, plot this transfer characteristic over the range −2 ≤ x ≤ 2. plot the linear characteristic f(x) = x on the same axes. in matlab

main.m
% Define the function f(x) = (1 - exp(-4*x)) / (1 + exp(-4*x))
f = @(x) (1 - exp(-4*x)) ./ (1 + exp(-4*x));

% Define the linear characteristic f(x) = x
linear_f = @(x) x;

% Define the range of x values
x = -2:0.01:2;

% Calculate the corresponding y values for f(x) and linear_f(x)
y_f = f(x);
y_linear = linear_f(x);

% Plot the transfer characteristic and the linear characteristic on the same axes
plot(x, y_f, 'b', x, y_linear, 'r');
xlabel('x');
ylabel('f(x)');
legend('Transfer Characteristic: f(x) = (1 - exp(-4x)) / (1 + exp(-4x))', 'Linear Characteristic: f(x) = x');
title('Transfer Characteristic vs Linear Characteristic');
grid on;
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