Question

Make a plot of three functions sinx,cosx, andˣ²/10 in the interval −π≤x≤π. Give each curve a different color and label them with text and arrow. (Tips: show the title of the plot "Plot of three functions", show the x-axis " −π≤x≤π " and the y-axis "Functions", respectively.)

Answer 1

To plot the functions sin(x), cos(x), and x²/10 over the interval −π≤x≤π, calculate y-values for a range of x-values, plot the points on a graph with different colors and labels for each function, and add appropriate titles and labels to the axes.

Step-by-step explanation:

To plot three functions: sin(x), cos(x), and x²/10 over the interval −π≤x≤π, we can follow these steps:

1. First, establish a set of x-values within the given interval. These values will serve as our data points on the x-axis.
2. Calculate the corresponding y-values for each function using the x-values from step 1.
3. Plot the points on a graph, drawing a continuous curve through the points of each function.
4. Use different colors for each curve and add a label with text and an arrow to identify them.
5. Add a title to the graph, 'Plot of three functions'. Label the x-axis with '−π≤x≤π' and the y-axis with 'Functions' to clearly indicate the variables and their ranges.

By following these steps, we create a visual representation that shows how the value of y is changing as a function of x for the three given functions.