(a) Using the table, give the values fo rthe inverse
1) original table of values:
x 1 2 3 4 5
f(x) 0 1 1 5 3
2) The inverse of the function is obtained by exchanging x and f(x), this is:
( x, f(x) ) → ( f(x), x)
3) So, the table of values of the inverse of the given function is:
x 0 1 1 5 3
f⁻¹ (x) 0 1 2 3 4
(b) Is the inverse a function?
No, the inverse is not a function, since the table of the inverse shows that the x -value 1 has two different images.
This ambigüity is opposite to the definition of a function, which requires that any input value has only one output. For that reason, the inverse is not a function. You cannot tell whether the image of 1 is 1 or 2, because both are images of the same value.
Answer:
The direct consequences of poverty are well-known — limited access to food, water, health care or education are a few examples. However, the consequences of poor living conditions on the community are seldom discussed; indeed, if members of a community suffer from poor living conditions, then the entire community suffers.
Answer:
R(7a, 0 )
Step-by-step explanation:
R is on the vertical line RQ so will have the same x- coordinate as Q
R is on the horizontal line OR so will have the same y- coordinate as O
Thus coordinates of R = (7a, 0 )
Answer:
18.4%
Step-by-step explanation:
The formula for rel. freq. is:
Relative Frequency = Class Frequency/n
Where
Class Frequency will be the number of students in the class we are interested in (in 35-38, the number of students is 9)
n is the total number of students [which is 6+7+8+9+10+9= 49]
Putting into formula we get:
Relative Frequency = 9/49 = 0.1837
To get percentage, we need to multiply by 100:
0.1837 * 100 = 18.37%
Rounded to 1 decimal place, that is 18.4%
