y = xⁿ

Graph of y = xⁿ

Learn how to draw the graphs of y = x, y = x² and y = x³, then try it yourself.

Graph of the Function y = xⁿ, n = 1, 2, 3

The graph of a function y = f(x) is the pictorial representation of the function, which represents the characteristics of the function in a diagrammatic form. Many aspects of the function can be analysed, interpreted and predicted using the graph of a function. The graph of the function y = f(x) means the set of all ordered pairs (x, f(x)) or (x, y) that satisfy the function.

In this section, we will learn to draw the graphs of the functions y = x, y = x² and y = x³.

In this section, the domain and range of all the functions we have discussed are assumed to be the set of real numbers.

Y X O x f(x) (x, f(x)) (y = f(x))
Example 1
Question 1
Note: Find y for each x, then plot the ordered pairs (x, y) on the graph and join them. Both axes use the same scale.

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