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Function Evaluator & Grapher | Excel Grapher |

It is easy enough to use graphing technology to draw a graph, but we need to use calculus to understand some of the features we are seeing and also to help us decide where to look. The most interesting features of a graph are the following:

Features of a Graph
1. The x- and y-intercepts: If y = f(x), find the x-intercept(s) by setting y = 0 and solving for x; find the y-intercept by setting x = 0 and solving for y.
Here is an illustration of a graph showing these features: |

Here is an exercise on recognizing these features on a graph:

- Take a look at the following graph (each gridline represents one unit). To see the coordinates of a point on the graph, just place the cursor on that point.

In the next exercise we are given the equation of the graph only:

- Consider the function

f(x) = (x-1)^{2/3} + x-1

Now try some of the exercises in Section 5.3 in *Applied Calculus* or Section 12.3 in *Finite Mathematics and Applied Calculus*.