question deals about Functions. read file beloww
The figure to the right shows the graph of an exponentially decreasing function.
a) Read the halving constant, T1/2, for the function.
Q. b) and c) are about an exponentially growing function g(x). As can be seen from the table below, g(7)=12 and g(15)=24.
b) Determine the doubling constant of the function.
c) Fill in the blanks in the table (marked with question marks). You can write in the table below, but remember to explain the calculations without using cas:
The linear formula is given: f(x) = 2x+4.
a) Complete the table using the calculation formula. Remember to show your calculations.
b) Draw the graph of f(x) and find the solution to the equation f(x)=13.6, using the intersection tool.
Using CAS
The table shows an estimate of the number of general practitioners in North Jutland in the period 2010-2017
| Year after 2010 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Number of practitioners | 352 | 343 | 336 | 340 | 322 | 311 | 307 | 303 |
In a model, the number of general practitioners in North Jutland can be described by the function:
f(x) = a·x+b, where f(x) is the number of general practitioners x years after 2010.
a) Draw a scatter plot of the data in the table
b) Determine the numbers a and b by linear regression
c) Draw a residual plot and, based on this, comment on the applicability of the linear model to describe the number of GPs as a function of time.
