CREATING GOOD GRAPHS FOR MATH 121 BELOW WE HAVE

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Creating Good Graphs for Math 121

Creating Good Graphs for Math 121

Below we have a number of graphs, and we want you to identify what is needed to improve them for full credit.

Suppose we want to graph the functions

and

(Note these equations were created with Microsoft Equation 3.0 to produce good equations.)

CREATING GOOD GRAPHS FOR MATH 121 BELOW WE HAVE

Problems: Too Few Points used, no vertical gridlines, inappropriate label, functions don’t span the domain

Good Points: Has a title, axes are labeled, used lines for functions

CREATING GOOD GRAPHS FOR MATH 121 BELOW WE HAVE

Problems: Too Few Points used, Used curve smoothing option (misses correct function), functions don’t span the domain, important features of graph missing (point of intersection)

Good Points: Has a title, axes are labeled, vertical grid applied, good labeling, graph fills region

CREATING GOOD GRAPHS FOR MATH 121 BELOW WE HAVE

Problems: Too Few Points used, Used curve smoothing with points (functions/models are always lines), functions are mislabeled, important features of graph are hard to see (domain not adjusted to feature important parts of graph)

Good Points: Has a title, axes are labeled, vertical grid applied, graph fills region, size is appropriate

CREATING GOOD GRAPHS FOR MATH 121 BELOW WE HAVE

Problems: Graph area too small, does not span the domain

Good Points: Has a title, axes are labeled, vertical grid applied, key points shown, plenty of points on the curve

CREATING GOOD GRAPHS FOR MATH 121 BELOW WE HAVE

Good Graph: This graph would receive full credit showing everything asked for.

Suppose that we have data for the population of a country from 1950 to 2000. We want to graph the population data and a Malthusian growth model

CREATING GOOD GRAPHS FOR MATH 121 BELOW WE HAVE

Problems: Graph area too small, model does not span the domain, points used on model (though could be acceptable for this case with discrete dynamical model), inappropriate labels for axes and legend

Good Points: Has a title, axes are labeled, vertical grid applied, data appears as points

CREATING GOOD GRAPHS FOR MATH 121 BELOW WE HAVE

Good Graph: Note appropriate title and axis labels, Data as points, Model spanning the domain, Good size, Sensible legend, all grid lines

Note: The legend is not necessary for this particular graph as it is a single model with a single data set, so a good title is all that is necessary

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