Graphing is a pictorial way of showing how two variables vary with respect to each other. Graphing is usually used in algebra problems to represent a function.
Graphing Calculators is a amazing online tool to plot a graph. It gives the graph for any function you enter. You also have extra advantage here as you are provided with spaces to enter the minimum and maximum values along x and y coordinates so that you can decide till what value you want the graph!
Let us understand the steps used to plot a graph:
Step 1 : Choose the different values of x and solve for given function y for these values. List out all the coordinate points.

Step 2 : Using these coordinate points plot a graph for the given function.

Here are given some problems based on solving the function and plotting graph you go through it.

Solved Examples

Question 1: Plot a graph for y = x2 + 5 from (-10, -10) to (10, 10).
Solution:
 
Step 1: Given equation is y = x2 + 5
                                 At x = -2 => y = (-2)2 + 5 = 9
                                     x = -1 => y = (-1)2 + 5 = 6
                                     x = 0 => y = 0 + 5 = 5
                                     x = 1 => y = (1)2 + 5 = 6
                                     x = 2 => y = (2)2 + 5 = 9

             Hence the coordinates are (-2, 9) (-1, 6) (0, 5) (1, 6) and (2, 9).

Step 2: The graph for y = x2 + 5 is
Graphing Calculator

 

Question 2: Plot a graph for y = x3 + 3
Solution:
 
Step 1: Given equation is y = x3 + 3
                                  At x = -3 => y = -33 + 3 = 30
                                      x = -1 => y = -13 + 3 = 2
                                      x = 0 => y = 0 + 3 = 3
                                      x = 1 => y = 13 + 3 = 4
                                      x = 2 => y = 23 + 3 = 11
 
            Hence the coordinates are (-3, 30) (-1, 2) (0, 3) (1, 4) and (2, 11).
 
Step 2: The graph for y = x3 + 3 is
Plot a Graph