Write R code to plot the graph of the following in one plot graph of the function f(x)=x^2+1 in range (-2,2)

Heya,

Here’s the R code to plot the function f(x)=x2+1f(x) = x^2 + 1f(x)=x2+1 over the range [−2,2][-2, 2][−2,2]:

# Define the function
f <- function(x) {
  x^2 + 1
}

# Define the range for x
x_values <- seq(-2, 2, by=0.01)

# Calculate the corresponding y values
y_values <- f(x_values)

# Plot the graph
plot(x_values, y_values, type="l", col="blue", lwd=2,
     main="Graph of f(x) = x^2 + 1",
     xlab="x", ylab="f(x)")

# Add gridlines for better visualization
grid()

Hi,

Sure thing! Here’s a quick and simple way to plot the graph of the function ( f(x) = x^2 + 1 ) in the range ([-2, 2]) using R:

# Define the function
f <- function(x) {
  x^2 + 1
}

# Define the range for x
x <- seq(-2, 2, by = 0.01)

# Plot the graph
plot(x, f(x), type = 'l', col = 'blue', lwd = 2,
     xlab = 'x', ylab = 'f(x)',
     main = 'Graph of f(x) = x^2 + 1')

# Adding grid for better readability
grid()

Explanation:

• We first define the function f(x) = x^2 + 1.
• We then create a sequence x ranging from -2 to 2 with small increments (by = 0.01) for smooth plotting.
• The plot() function is used to create the plot, where type = 'l' specifies a line plot.
• I’ve also added col = 'blue' to give the line a nice color, and lwd = 2 to make it a bit thicker for better visibility.
• Finally, we use grid() to add a grid to the plot, which makes it easier to interpret the graph.

Happy coding! 🎨📊

- Bobby