How to plot user-defined functions in R?

Plotting user-defined functions in R is a common task for visualizing mathematical functions, statistical models, or custom data transformations. This article provides a comprehensive guide on how to plot user-defined functions in R, including creating simple plots, enhancing them with additional features, and customizing their appearance.

Overview of Plotting User-Defined Functions

In R, we can plot the user-defined functions using the plot and curve functions. The plot function can set up the plotting area and the curve function can be used to plot the mathematical expressions or functions over the specified range.

Plot user-defined functions Using Base R Graphics

We will explain here how to implement the plotting of the user-defined functions in the R programming Language.

Step 1: Define the Function

We can define the custom function in R. For example, the simple quadratic function.

# Define the quadratic function
quadratic <- function(x) {
  return(x^2 + 2*x + 1)
}

Step 2. Generate a Sequence of Input Values

Next, generate a sequence of input values over which you want to plot the function. You can use the seq function to create this sequence.

# Generate a sequence of input values
x_values <- seq(-10, 10, by = 0.1)

Step 3. Compute the Function Values

Apply the function to the sequence of input values to get the corresponding output values.

# Compute the function values
y_values <- quadratic(x_values)

Step 4: Plot the Function

Use the plot function to create a scatter plot of the input and output values, and then use the lines function to connect the points.

# Plot the function
plot(x_values, y_values, type = "l", col = "blue", lwd = 2,
     xlab = "x", ylab = "f(x)", main = "Plot of User-Defined Quadratic Function")

Output:

Plot user-defined functions in R Using ggplot2

The ggplot2 package provides a more flexible and powerful way to create plots. First, install and load the package if you haven't already.

library(ggplot2)

# Define the quadratic function
quadratic <- function(x) {
  return(x^2 + 2*x + 1)
}

# Generate a sequence of input values
x_values <- seq(-10, 10, by = 0.1)

# Compute the function values
y_values <- quadratic(x_values)

# Create a data frame
data <- data.frame(x = x_values, y = y_values)

# Plot the function using ggplot2
ggplot(data, aes(x = x, y = y)) +
  geom_line(color = "blue", size = 1) +
  labs(title = "Plot of User-Defined Quadratic Function", x = "x", y = "f(x)") +
  theme_minimal()

Output:

First, define the mathematical function you want to plot. For example, let's create a simple quadratic function.

• Next, generate a sequence of input values over which you want to plot the function. You can use the seq function to create this sequence.
• Apply the function to the sequence of input values to get the corresponding output values.
• Use the plot function to create a scatter plot of the input and output values, and then use the lines function to connect the points.

Conclusion

Plotting user-defined functions in R is a straightforward process that can be accomplished using base R graphics or the ggplot2 package. Both methods offer flexibility and customization options to create informative and visually appealing plots. Whether you're visualizing mathematical functions, statistical models, or custom data transformations, these techniques will help you effectively display your results.