Graphing Functions:making graphs of functions

Graphing functions: how to go about making graphs of functions

Now that you are bent upon learning about functions, it would also be necessary for you to learn about graphing functions. Now, the one thing that you need to know about functions is that having to graph function is quite like graphing an equation. If you already know what the graph of a function is, it would be really easy for you to graph it down. However, in case you don’t know the function beforehand, then what you need to do is compute a few values of x and y, and then get down to plotting its points. Here’s what you need to do in order to graph the function:

Determine the nature of the function

The first thing that you need to know about graphing functions is that doing so isn’t all that hard. The first thing that you need to know about how to go about doing so is that it is vital for you to initially determine the nature of the function. Here’s a bit of information about the different types of graphs for varying functions:

1. Linear functions

Linear functions are typically represented by a straight line. Their equation is commonly written as: y = 3x – 6. Their graph looks something like this:
linear function graph

2.Quadratic functions

Parabolas are used in order to represent quadratic functions. Parabolas are typically curvy lines that are meant to represent quadratic functions like: y=x2+4x+3. All in all, their graph looks like this:

quadratic functions graph

Now, these were just bare basic examples of the different types of functions and their graphs. Now, how do we go about making graphs of functions? Well, let’s consider an example. You need to sketch a graph for the function:


function for the graph

Now, you would need to compute the values of x. So, the evaluations of the function will be:

compute values of x

With these evaluations at hand, you can now easily graph the function as:

graph the function




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