Find the range of the following peicewise functiom

answer is [0,11)

f(x) = x+4 is the first function

We plug in -4 for x  in f(x) = x+4

f(-4) = -4 + 4 = 0

So the graph starts at (-4,0)

Now plug in 3 for x  in f(x) = x+4

f(3) = 3 + 4 = 7

So the first function ends at (3,7)

Second function is f(x) = 2x - 1

We plug in 3 for x  in f(x) = 2x-1

f(3) =2(3)-1 = 5

So the second graph starts at (3,5)

We plug in 6 for x  in f(x) = 2x-1

f(6) =2(6)-1 = 11

So the second graph ends at (6,11)

3<=x<6 so 6 is excluded from x

The range of the following piece wise function is 0  to 11

answer is [0,11)

f(x) = x + 4   ; -4 ≤ x < 3

f(-4) = (-4) + 4

      = 0

f(3) = (3) + 4

     = 7

R: 0 ≤ y < 7    ⇒   [0, 7)

f(x) = 2x - 1   ; 3 ≤ x < 6

f(3) = 2(3) - 1

      = 6 - 1

       = 5

f(6) = 2(6) - 1

      = 12 - 1

      = 11

R: 5 ≤ y < 11   ⇒   [5, 11)

Now, put them together:   [0, 7) U  [5, 11)   = [0, 11)

B

you should at least use a calculater

step-by-step explanation:

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.