Gradient Functions :: Papers

Gradient Functions In the following coursework, will investigate the gradient functions using the formula y=ax^n, where a is a constant and n is a number. a n Y=ax^n 1 1 x 2 1 2x 3 1 3x 4 1 4x 5 1 5x a n Y=ax^n 1 2 x 2 2 4x 3 2 6x 4 2 8x 5 2 10x a n Y=ax^n 1 3 3x^2 2 3 6x^2 3 3 9x^2 4 3 12x^2 5 3 15x^2 a n Y=ax^n 1 4 4x^3 2 4 8x^3 3 4 12x^3 4 4 16x^3 5 4 20x^3 I will plot the graphs of the functions above and I will find their gradient using the formula gradient=increase in y-axis /increase in x-axis. Straight line graphs Straight line graphs are graphs with the equation y=mx+c or y=ax^1,where is stand for the gradient and c is the y- intercept. Gradient calculations 1. y=x graph Gradient of A= increase in y -axis/increase in x-axis = 2/2 =1 Gradient of B= increase in y-axis/increase in x-axis = 2/2 =1 2. y=2x graph Gradient of D= increase in y-axis/increase in x-axis = 4/2 =2 Gradient of E= increase in y-axis/increase in x-axis = 4/2 =2 Gradient of F= increase in y-axis/increase in x-axis