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.