How do you read the graph of a function?

Question

I can interpret functions in the formula form but I simply can’t understand how it can become a graph. How would you transform one into the other?

In: 46

Answer 1

So a graph will have an x-axis and a y-axis right?

And with a function you have a x, and a y or f(x) (those are the same thing just different names)

A graph shows you all the (x, y) pairs.

So like for y=x if you plug in 1 for x you get 1 for y and so on.

For the graph you will get a straight like that’s at a 45 degree angle. Because you are plotting all the places where x is the same as y.

Going from function to graph is generally a lot easier than graph to function.

For function to graph plug in a bunch of numbers and just mark them down on a graph.

But for graph to function you tend to need to think a bit and having some knowledge of basic function shapes is a must have. As well as how parts of a function will shift the graph. I could go into more detail here if you want, but its verging on a whole topic overview.