How much do you share on social media? Do you have accounts linked to your computer, phone, and tablet? The average teen spends around 5 hours per day online, and checks his or her social media account about 10 times each day. When an image or post is shared publicly, some students are surprised at how quickly their information travels across the Internet. The scary part is that nothing online is really private. All it takes is one friend sharing your photo or updates with the public to create a very public viral trend.

For this project, you will use what you have learned about exponential functions to study what happens if a social media post is shared publicly.

Social Sharing
You and your partner will each study two student scenarios to see how social media spreads. Four student scenarios are described in the table below. Work together with your partner to decide who will study which two students:

Student Henry Isabelle Javier Kendra
Description Henry shared his video with 4 friends. His friends continued to share it, doubling the number of viewers each day. Isabelle shared her photo with 51 followers. Each of them shared it with 2 friends, doubling the number of viewers each day. Javier shared his post with 4 friends, who each shared it with 4 more friends. They continued sharing at the same rate. Kendra shared her photo with 11 friends, who each shared it with 3 friends. This pattern continued.
Social Media Shares f(x) = 4(2)x
Day Viewers
0 51
1 102
2 204 Javier shared his post with 4 friends, who each shared it with 4 more friends. They continued sharing at the same rate. f(x) = 11(3)x

Question: Graph the exponential functions for all four students. If possible, place them all on 1 graph. If not, be sure to work with your partner so you have access to all graphs. Be sure to label each curve. You may graph your equation by hand on a piece of paper and scan your work, or you may use graphing technology.

in the attachment.   i didn't see your choices.   the word which means there is choices.

step-by-step explanation:

(x,y)

x tells you how much left or right you go from the origin

y tells you how much down or up you go from the origin

so for example (-3,2), you go left 3 and up twice. i denoted which of the ordered pairs is which in my graph.

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range: