Question 3 [40 marks] Write a program to draw a text-based graph of a mathematical function f(x). Use axis limits
of - 10 to 10 and only plot discrete points i. e. points with Integer value ordinates.
Sample I/O:
Enter a function f(x):
x+2
I
Use nested loops to print the entire area of the graph (i. e. an outer loop for rows and an
inner one for columns), keeping track of the current x and y values. Whenever the (rounded)
value of the function f(x), entered by the user, is equal to the current y value, output "*" (an
asterisk), otherwise, output either the appropriate axis character or a space.
NOTE: Remember to import math to enable the use of some mathematical functions.
How should the program support the entering of arbitrary functions?​

Write a program that displays the following menu: geometry calculator 1. calculate the area of a circle 2. calculate the area of a rectangle 3. calculate the area of a triangle 4. quit enter your choice (1-4): if the user enters 1, the program should ask for the radius of the circle and then display its area. use the following formula: area = ď€(the square of r) use 3.14159 for ď€ and the radius of the circle for r. if the user enters 2, the program should ask for the length and width of the rectangle and then display the rectangle’s area. use the following formula: area = length * width if the user enters 3, the program should ask for the length of the triangle’s base and its height, and then display its area. use the following formula: area = base * height * .5 if the user enters 4, the program should end. input validation: display an error message if the user enters a number outside the range of 1 through 4 when selecting an item from the menu. do not accept negative values for the circle’s radius, the rectangle’s length or width, or the triangle’s base or height. note: if the user enters an improper menu choice (1-4), the program prints "the valid choices are 1 through 4. run the program again and select one of those." if the user enters a negative radius, the program prints "the radius can not be less than zero." if the user enters a negative value for height or base, the program prints "only enter positive values for base and height."