# How to Graph Functions

A mathematical function is actually a formula that requires an input, x, applies a pair of calculations to it and creates an output known as y. By determining a function at a sizable number of set intervals, it is possible to produce a scatter plot of a function. Here are some steps to graph functions:

Step 1

Create the headers for the data table. Enter the output variable in cell B1 and the input variable within cell A1. If you want, you can use the mathematical standards x and y or you may use something more descriptive for example profit and sales.

Step 2

Enter the first and second interval of one's input variable (for example, sales or x), which you will use to plot the function. For instance, if your intervals are whole numbers, you could start by entering 2 into cell A3 and 1 into cell A2. Choose both of these cells and then click and drag the tiny black square in the lower-right corner from the selection area downwards till you have as much values as you want to plot.

The most typical type of graph quadratic functions leads to a parabola, probably the most common kinds of quadratic functions.

f(x) = ax2 + bx + c is actually a quadratic equation and it symbolizes the equation for a parabola.

If a<0 (a is negative), the parabola is concave downwards and if a>0 (a is positive), the parabola is concave upwards. Graphing Exponential Functions

Graphing exponential functions is much like the graphing you have carried out before. However, from the nature of exponential functions, their points tend either to be very near to one fixed value otherwise to be too huge to be conveniently graphed. There will usually be only several points that are reasonable to utilize for drawing your image; picking these sensible points will need that you possess a good grasp of the general behavior of an exponential, therefore you can fill in the gaps.

Keep in mind that the fundamental property of exponentials is always that they modify by a given proportion over a set interval. For example, a medical isotope that decays to half the previous sum every 20 minutes and a bacteria culture which triples each day every exhibits exponential behavior, because, in certain set amount of time (twenty minutes and one day, respectively), the amount has changed by a continuing proportion (one-half as much and three times as much, respectively). 