How would I find the polynomial from the factors?
1 answer:
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Answer:
a) For this case the histogram is not too skewed and we can say that is approximately symmetrical so then we can conclude that this dataset is similar to a normal distribution
b) For this case the data is skewed to the left and we can't assume that we have the normality assumption.
c) This last case the histogram is not symmetrical and the data seems to be skewed.
Step-by-step explanation:
For this case we have the following data:
(a)data = c(7,13.2,8.1,8.2,6,9.5,9.4,8.7,9.8,10.9,8.4,7.4,8.4,10,9.7,8.6,12.4,10.7,11,9.4)
We can use the following R code to get the histogram
> x1<-c(7,13.2,8.1,8.2,6,9.5,9.4,8.7,9.8,10.9,8.4,7.4,8.4,10,9.7,8.6,12.4,10.7,11,9.4)
> hist(x1,main="Histogram a)")
The result is on the first figure attached.
For this case the histogram is not too skewed and we can say that is approximately symmetrical so then we can conclude that this dataset is similar to a normal distribution
(b)data = c(2.5,1.8,2.6,-1.9,1.6,2.6,1.4,0.9,1.2,2.3,-1.5,1.5,2.5,2.9,-0.1)
> x2<- c(2.5,1.8,2.6,-1.9,1.6,2.6,1.4,0.9,1.2,2.3,-1.5,1.5,2.5,2.9,-0.1)
> hist(x2,main="Histogram b)")
The result is on the first figure attached.
For this case the data is skewed to the left and we can't assume that we have the normality assumption.
(c)data = c(3.3,1.7,3.3,3.3,2.4,0.5,1.1,1.7,12,14.4,12.8,11.2,10.9,11.7,11.7,11.6)
> x3<-c(3.3,1.7,3.3,3.3,2.4,0.5,1.1,1.7,12,14.4,12.8,11.2,10.9,11.7,11.7,11.6)
> hist(x3,main="Histogram c)")
The result is on the first figure attached.
This last case the histogram is not symmetrical and the data seems to be skewed.
Answer:
1. (a) A function is a mapping where there should be different values of y for different x.
So, given ordered pairs:
(3,7), (3,8) ,(3,-2) ,(3,4) ,(3,1)
It is not a function because there are multiple y values for single x-value.
Option 2 is correct.
(b) We need to find range of the function f(x)= -4x +1
So, we have given the domain which means the value of x we will put thses given values of x to find y
Values of y is the range in a function
So, given domain is: {-5,-1,0,2,10}
When
When
when
when
when
So, Range is: {-39,-7,1,5,21}
Option 1 is correct.
(c) We have given a function
Where c is the number of cup jug of milk which is 16.
Put c=16 in given function
So, c=16, v(c)=1568 is reasonable domain and range of the function.
Option 1 is correct.
(d) We need to find the inverse of given ordered pairs (1,2) (3,4) ,(6,8)
So, the inverse means values of x and y interchange.
So, the required inverse is: (2,1) ,(4,3) ,(8,6)
Option 3rd is correct.
2. We need to find the inverse of given scatter plot in which we have to find the inverse
So, given scatter plot represents (-4,-2) ,(1,-1) ,(2,1) ,(3,2)
So, in inverse values of x and y interchange
So, inverse scatter plot should represent (-2,-4) ,(-1,1) ,(1,2), (2,3)
Attached is the scatter plot inverse
Graph 1 is correct.
3.We have been given a function:
So, f(x)=y
That is
We will find x from above equation we get
Now, interchange x and y
is the required inverse
Therefore, option 3rd is correct.
