At this point, you have learned to graph several types offunctions: ? Linear functions, whose graphs are straight lines ?Polynomial functions, whose graphs are smooth, continuous curveswith no breaks or corners, and whose end behavior is controlled bythe degree of the function; ? Rational functions, whose graphs canhave holes and vertical asymptotes, and whose end behavior can (butdoes not have to) include horizontal and slant asymptotes; ?Exponential functions, whose graphs have horizontal asymptotes inone direction and grow rapidly in the other direction; ? andLogarithmic functions, whose graphs have vertical asymptotes andgrow very slowly. You have also practiced using transformations offunctions to shift, stretch, and reflect graphs. In thisassignment, you are asked to take what you have learned and createan original work of art using the graphs of at least 10 functions,with at least 1 from each of the five categories above. You maychoose to draw your graphs by hand, but you might also choose touse a graphing app like desmos.com or geogebra.org. Here are a fewtips for you: 1. You can restrict the domain of a function to showonly part of it. For example, you might want to include the graphof y = x 2 but only show the part of it that goes from x = –1 to x= 1. To do this in Desmos, use curly braces to restrict the domain,as shown below: y = x^2 {-1 < x < 1} 2. You can use functionnotation and transformations to produce multiple copies of the samecurve positioned in different locations and scaled up or down. Forexample, if you define the curve f(x) = x^2 {-1 < x < 1} thentyping g(x)=f(x-2) will produce a second curve that is exactly thesame size and shape but shifted two units to the right, andh(x)=3*g(x) will produce another curve that is in the same positionas g(x) but 3 times as tall. 3. You might find it easier to do thisif you start by sketching your picture freehand on a piece of graphpaper, and then trying to fit curves and lines to the sketch. 4.When you’re finished, polish your artwork by hiding the axes andgridlines (in Desmos, click on the wrench icon in the upper-rightcorner and uncheck the relevant boxes). You can also change thecolor of different functions by clicking and holding on the coloredlabel next to the function’s formula. 5. Send your finished projectto your teacher. Include the following: a. If you did your workonline: i. a link to the completed artwork (see instructions forhow to share a graph in Desmos) ii. either a screenshot or anexported graphic version of the picture (see instructions on how toexport an image in Desmos).

Be sure to include not only the graph but all of theformulas for the functions that you used to make the graph.

c. A description of what the picture is and a brief explanationof how you made it