Answer: D [-1,1]
is the inverse of function g(x).
the inverse equation of g(x) = sin(x):
sin(y) = x
y = (x)
using a trig circle with radius 1, we can find out that the max values of sin(x) are 1 and -1, so the domain of the inverse of sin(x) must be [-1,1]
**Note: if allowed during AP test, test from school. or assignment, you can use your graphing calculator to graph (x)
Answer:
A. From the information given in the graph, we have;
The grain yield in pounds per acre for Europe in 1960 is approximately 1,600 Pounds per Acre
The grain yield in pounds per acre for Europe in 2015 is approximately 5,100 Pounds per Acre
The rate of change of grain yield in Europe ≈ (5,100 - 1,600)/(2015 - 1960) = 63. Pounds per Acre per year
The grain yield in pounds per acre for Sub-Saharan Africa in 1960 is approximately 800 Pounds per Acre
The grain yield in pounds per for Sub-Saharan Africa 2015 is approximately 1,250 Pounds per Acre
The rate of change in grain yield in Sub-Saharan Africa ≈ (1,250 - 800)/(2015 - 1960) = 8. Pounds per Acre per year
Therefore, the grain yield per acre per year in Europe is increasing approximately 8 times the increase in Sub-Saharan Africa
B. Given that the rate of increase in the pounds of grain per Acre per year in Europe is progressively increasing above the average rate of world rate, the market for the grains produced in Europe will be partly the developing countries, thereby reducing the number of farms found in developing countries
C. In stage 4 demographic transition the population growth is stabilizing and therefore where there is an increase in grain yields, there will be an increase in farming and economic activity and a reduction in population growth
Where there is a decrease in grain yield, there will be an increase in activities to restore supply and therefore, a reduction in population
D. One limitation of the data in describing food security at a regional scale is the information required on the population figures in a given region involved in grain farming
Explanation: