# How do you find the function rule?

##### 1 Answer

You need to know some base graphs:

#f(x) =c# #f(x)=x# #f(x) = x^2# #f(x)=x^3# #f(x) = ln(x)# #f(x)=abs(x)#

**Note:** Also know these graphs' negative versions. (They are symmetric to the

Look at the graph and decide which base graph is similar to the graph.

Usually, the given graph is a shifted version of a base graph.

**Example:**

graph{y=(x+1)^2+2 [-5, 5, -5, 5]}

This graph is similar to

The point

When we add

Finally, the graph is shifted

In my opinion, "guessing" the function rule from its graph is not mathematics. It is useless and it is a fortunetelling kind of thing. It is not science. But some countries and their useless education systems ask these "problems" to students.