You are about to erase your work on this activity. Are you sure you want to do this?
Updated Version Available
There is an updated version of this activity. If you update to the most recent version of this activity, then your current progress on this activity will be erased. Regardless, your record of completion will remain. How would you like to proceed?
This section describes how we will use graphing in this course; as a tool to visually
depict a relation between variables.
The way we will be focusing on graphing in this class, as well as the most
common use in business graphics and academics in general, is to relate variables
together. Specifically we will use graphing as a visual representation of a large
number of input/output value combinations (which we call “points” on the
graph). A fair question might be “what about the situation where we have
multiple independent and/or dependent variables?” The content we cover in
this class, as well as that studied in calculus one, will be restricted to one
independent and one dependent variable. However the same general techniques
work with more variables, but that is typically not studied before calculus
Graphing has a number of advantages when we use it to look at how variables
interact and are related. We will explore this in great detail in the next several
sections. In general however, graphing should be viewed as a ‘summation of
information’ with regards to the variables involved. That is to say, the graphs you get
can be incredibly accurate, but they will never (Technically there are
some very specific instances where you can draw precise deductions from a
graph, but these examples are mostly pathological (ie designed to let this
happen, but unlikely to occur in any natural way) and so we disregard those
instances for now.) allow you to deduce precise information from them. This is
because, no matter how accurate a drawing is, it’s still a drawing. Even if
we assume every point was placed with perfect accuracy, it is still only as
precise as its resolution allows, which means it can’t possibly be perfect. A
helpful mantra to remember: Graphing is for macro (large-scale) information,
algebra is for micro (small-scale) information. Precision is almost always
small scale, so we will almost always use algebra when we want very precise
Here is a video on the strengths and weaknesses of graphing!
1 : A graph can only be used to demonstrate a relationship between a single
independent and a single dependent variable.
The most common type of graphing related two variables; a single independent and a
single dependent. However, there are lots of ways to graph multiple variables,
including graphing things over time, three dimensional graphing plots, and using
concurrent graphs to depict even higher dimensions (even more variables)!
2 : Graphing is primarily for... (Select all that apply)
Large-scale informationPrecise informationBig picture trends and patterns.Specific point values and
locations.Nothing. Absolutely nothing.