We know that graph is made up of (x,y) co-ordinates. Hence choose some values of x and substitute it in function of y to get y co-ordinates.
Plot the graph by marking the values of x as well as corresponding values of y. we get the desired graph.
Plot a graph for the given function y = x3
At x = - 0.5
=> y = (- 0.5)3
= - 0.125
At x = -1
=> y = (-1)3 = -1
At x = 0
=> y = 03 = 0
At x = 1
=> y = 13 = 1
The coordinates of the given points are (- 0.5, - 0.125), (-1,-1), (0,0) and (1,1).
The above graph represents the given function y = x3
Plot the graph for the given function y = 4x3 - 3.
At x = - 0.25
=> y = 4(-0.25)3 - 3
= -3.015625.
At x = -1
=> y = 4(-1)3 - 3
= -4-3
= -7
At x= -1.5
=> y = 4(-1.5)3 - 3
= -13.5 - 3
= -16.5
At x = 1
=> y = 4(1)3 -3
= 4 - 3
= 1
At x = 0
=> y = 4(0)3 - 3
= -3
At x = 0.75
=> y = 4(0.75)3 - 3
= 1.6875 - 3
= -1.3125.
The coordinates are (-0.25,-3.0156),(-1,-7), (-1.5,-16.5), (0,-3), (0.75, -1.3125) and (1,1)
The above graph represents the equation y = 4x3 - 3.