Please use MATLAB software to create a program that graphs the function f(x) = e^(-x) within the domain -5<=x<=5. The plot should have clear labels for both the x and y axes, and the plot itself should have a title indicating the function being graphed. Additionally, please use a solid line for the plot and set the axis limits to show the full extent of the curve.
Please use MATLAB software to create a program that graphs the function f(x) = e^(-x) within the domain -5<=x<=5. The plot should have clear labels for both the x and y axes, and the plot itself should have a title indicating the function being graphed. Additionally, please use a solid line for the plot and set the axis limits to show the full extent of the curve. The user attention ratio is 0.59033203125.
user
Here is the MATLAB code to create the plot:

% Define the function
x = linspace(-5, 5, 1000);
y = exp(-x);

% Plot the function
plot(x, y, 'LineWidth', 2);

% Set the axis labels and title
xlabel('x');
ylabel('f(x)');
title('Graph of f(x) = e^{-x}');

% Set the axis limits to show the full extent of the curve
xlim([-5, 5]);
ylim([0, 1]);
assistant
Can you add some grid lines to the plot to make it easier to read? The user attention ratio is 0.256591796875.
user
Sure! Here's the updated code that includes grid lines:

% Define the function
x = linspace(-5, 5, 1000);
y = exp(-x);

% Plot the function with grid lines
plot(x, y, 'LineWidth', 2);
grid on;

% Set the axis labels and title
xlabel('x');
ylabel('f(x)');
title('Graph of f(x) = e^{-x}');

% Set the axis limits to show the full extent of the curve
xlim([-5, 5]);
ylim([0, 1]); 

The `grid on` command adds grid lines to the plot, making it easier to read.
assistant
Can you also add a legend to label the curve? The user attention ratio is 0.193359375.
user
Surely! Here's the updated code that includes a legend:

% Define the function
x = linspace(-5, 5, 1000);
y = exp(-x);

% Plot the function with a legend and grid lines
plot(x, y, 'LineWidth', 2, 'DisplayName', 'f(x) = e^{-x}');
grid on;
legend('location', 'northeast');

% Set the axis labels and title
xlabel('x');
ylabel('f(x)');
title('Graph of f(x) = e^{-x}');

% Set the axis limits to show the full extent of the curve
xlim([-5, 5]);
ylim([0, 1]); 

The `DisplayName` parameter in the `plot` function creates a label for the curve in the legend, and the `legend` function displays the legend on the plot. The `'location', 'northeast'` parameter in the `legend` function specifies where the legend will be placed on the plot.
assistant
Thanks for the updates to the code, it now looks perfect! Could you please add a dashed line to the plot to show the axis y=0? The user attention ratio is 0.275634765625.
user
Of course, here's the updated code with the dashed line:

% Define the function
x = linspace(-5, 5, 1000);
y = exp(-x);

% Plot the function with a legend and grid lines
plot(x, y, 'LineWidth', 2, 'DisplayName', 'f(x) = e^{-x}');
hold on;
plot([-5 5], [0 0], 'k--', 'LineWidth', 1.5, 'DisplayName', 'y = 0');
grid on;
legend('location', 'northeast');

% Set the axis labels and title
xlabel('x');
ylabel('f(x)');
title('Graph of f(x) = e^{-x}');

% Set the axis limits to show the full extent of the curve
xlim([-5, 5]);
ylim([0, 1]);

The `hold on` command allows us to add the dashed line to the same figure. The `plot([-5 5], [0 0], 'k--', 'LineWidth', 1.5, 'DisplayName', 'y=0')` command plots the dashed line at y=0 with black color and line width of 1.5. The `'DisplayName', 'y=0'` parameter adds a label for the dashed line to appear on the legend.
assistant