Graphing Functions, How to Graph Functions

You may come across an equation such as,

y = 2x ' 1

Standardized method of saying is y the function of x, because when you select any values for x this formula would give us a different y value. E.g. if you select x = 4 then this formula would give us

y = 2(4) ' 1 or y = 7

Hence, we could say that y value, y = 7 is created by choosing x = 4. If we would have chosen a different x value then we would have got a different resultant of y. On the other hand, we could select any whole numbers for x and y. This is explained well in this below table:

Graphing Functions

Graphing a Function

The combination in-between x and y value creates a collection pair of x and y points, such as

X and Y Points

As for each one of this pairs of numerals could be the co-ordinates of a point on a plane. It's normal to ask what these collections of ordered pair would appear if you graphed it. The outcome is something similar like shown below:

Graphing a Function

The dots appear to get together in the straight line. At present, our options for x are quite absolute. You may even as well need picked different values, including non-integer value. Say you picked more values for x like 2.7, 3, 14... And summed them to our chart. Yet the points could be so crowded which could form solid line.

Graph Function

How to Graph Functions

In the image shown above, the arrow on both the ends shows that it carries on always. Since there's no bound to what numerals you could select for x. You say that this line are the graphical record of the function, y = 2x - 1 and whenever you select whatever point on that line and read its x & y co-ordinates, they'll fulfill the equation, y = 2x - 1. E.g. the point (1.5, 2) gets on a line,

How to Graph Functions

And the co-ordinates y = 2 and x = 1.5 satisfies the equations, y = 2x-1 is described below.


Important: This graph came out to follow a straight line entirely because of a specific function which we practiced as an exercise. This also consists different functions whose graphs results to be different curves.


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