Graph a function

The graph of a one-parameter function is a curve that describes the behavior of the function.

What is the graph of a function

The graph of a function f is a curve that describes the behavior of a function f. It is a curve that copies the function values f. If we want to draw the graph of a function of one variable, we will need a plane and two axes - x and y. I'm sure you're familiar with those, they are the two perpendiculars. It looks like this:

We draw the graph of the function f by taking a point x from the definition domain of the function and calculating the functional value f(x). This gives us the pair [x, f(x)]. This pair represents the coordinates of a point on the graph. Plot the first coordinate (i.e., x) on the x-axis and plot the second coordinate (i.e., f(x)) on the y-axis. If we take the functions f(x) = x + 1, then if we choose one after x, we get the pairs [1, 2]. We plot this on the graph as follows:

Next, we add the points [0, 1] and [−1, 0]. We get a picture like this:

If we were to add all the points from the defining domain of the function one by one in this way, we would get a solid line that looks like this:

This line represents the graph of the function f(x) = x + 1. We can read back the function values from this graph. If you want to find the functional value at a point x = −2, you find the −2 value on the x axis of the graph, and then look at the curve to see what y-coordinate the point has that has the x-coordinate −2.