Multiple Choices: Based Plot: Curve Plot

1. What is the primary purpose of the curve() function in R?

To create a scatter plot To plot a mathematical expression To fit a linear regression model To generate random numbers

2. Which argument in the curve() function is used to specify the mathematical expression to plot?

expr formula expression fun

3. How do you specify the range of x-values for a plot created using curve()?

range = c(start, end) xlim = c(start, end) from = start, to = end xrange = c(start, end)

4. What type of object can be passed as the expr argument in curve()?

A string with the equation A function A numeric value A data frame

5. Which of the following commands correctly plots the sine function from \(-\pi\) to \(\pi\) using curve()?

curve(sin(x), from = -pi, to = pi) curve(sin(x), xlim = c(-pi, pi)) plot(curve(sin(x), range = c(-pi, pi))) curve(sin(x), start = -pi, end = pi)

6. How can you change the line color in a plot generated by curve()?

Use the col argument Use the color argument Use the line_color argument Use the colline argument

7. Which argument in curve() would you use to change the number of points plotted on the curve?

points n length steps

8. How can you add a title to the plot created by curve()?

title = "My Title" main = "My Title" add_title = "My Title" text = "My Title"

9. What happens if you set the add = TRUE argument in curve()?

The curve is drawn on a new plot. The curve is added to an existing plot without clearing it. It changes the axis labels. It adds grid lines to the plot.

10. Which of the following would plot the function y = x^2 from -5 to 5?

curve(x^2, from = -5, to = 5) curve(x^2, xlim = c(-5, 5)) plot(x^2, x = -5:5) curve(x^2, range = c(-5, 5))

11. What does the add = TRUE argument do in the curve() function?

Adds the curve to a new plot. Adds the curve on top of an existing plot. Changes the color of the curve. Resizes the plot.

12. What is the default type of plot produced by the curve() function in R?

Scatter plot Line plot Bar plot Histogram

13. If you want to plot a curve from x = -10 to x = 10 with 200 points, what would you do?

curve(x, from = -10, to = 10, n = 200) curve(x, -10, 10, n = 200) curve(x, range = c(-10, 10), n = 200) curve(x, xlim = c(-10, 10), n = 200)

14. To plot the function y = sqrt(x) for values of x from 0 to 25, what would you use?

curve(sqrt(x), from = 0, to = 25) plot(sqrt(x), from = 0, to = 25) curve(sqrt(x), xlim = c(0, 25)) curve(sqrt(x), range = c(0, 25))

15. How can you plot multiple mathematical expressions on the same graph using curve()?

Use multiple curve() calls with add = TRUE Use curve() with the multiple argument Combine expressions in one expr argument Use grid() to overlay multiple curves

16. Which argument in curve() allows you to customize the line type of the curve?

lty col type style

17. How would you add labels to the x-axis and y-axis while using curve()?

Use xlabel and ylabel arguments Use xlab and ylab arguments Use axis_labels argument Use lab_x and lab_y arguments

18. Which of the following is a correct way to plot a quadratic function y = x^2 from -3 to 3 using curve()?

curve(x^2, from = -3, to = 3) curve(x^2, xlim = c(-3, 3)) plot(x^2, x = -3:3) curve(x^2, range = c(-3, 3))

19. What will the following command do?

   curve(sin(x), from = 0, to = 2*pi, col = "red", lty = 2)

Plot the sine function in blue with solid lines. Plot the sine function in red with dashed lines. Plot the cosine function with a red dotted line. Plot the sine function in black with dashed lines.

20. How would you display a curve with a log-scaled y-axis using curve()?

curve(sin(x), log = "y") curve(sin(x), scale = "log") curve(sin(x), log = "true") curve(sin(x), ylog = TRUE)