Question

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)

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)


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Bobby Iliev
Site Moderator
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โ€ข August 13, 2024

Hi,

Sure thing! Hereโ€™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.
  • Iโ€™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! ๐ŸŽจ๐Ÿ“Š

- Bobby

KFSys
Site Moderator
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โ€ข August 14, 2024

Heya,

Hereโ€™s the R code to plot the function f(x)=x2+1f(x) = x^2 + 1f(x)=x2+1 over the range [โˆ’2,2][-2, 2][โˆ’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()

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