Blackboard Assignment 2 Week4 1 Given fx2x2 5 Find the dif

Blackboard Assignment #2 (Week4) 1) Given f(x)=2x2 + 5 : Find the difference quotient and simplify the expression Given f(x)=2x+12 and g(x)-VT-x, 2) Find the composition (fog Find the composition (g\"/) (x) . The following graph shows the number of articles published in sociology journals that mention \"Social Networks\' in their abstract as from 1965 to 1993. 3) Growth of Social Networks Number of Articles in Seciological Jourmals Containing Sesial Netweeks\" in the Abstract 300 250 200 150 100 50 65 67 69 71 73 75 77 79 81 83 85 87 89 91 93 a) Approximately how many articles of that type appeared in 1978 b) Approximately how many of those articles appeared in 19847 c) Approximately how many of those articles appeared in 19877 d) Summarize the change from 1984 and 1987 in a statement that indicates whether it was a growth or a decrease and of how many articles per year

Solution

we simply need to read the graph here

a) In 1978 , the value is approximately 50

b) In 1984 , the value is approximately 110

c) In 1987 , the value is approximately 150

d)

The change is calculated as

(final value - initial value)/initial value

(150-110)/110 = 0.3636 or

36.36% increase , as the value increased from 110 in 1984 to 150 in 1987