4. The table below shows the number of students in Mrs. Lewis' class who have birthdays in each month, which is represented by a number. Identify the domain and range. Determine whether the relation is discrete or continuous and whether it represents a function.
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10
11
12
2
5
3
Birth Months of Mrs. Lewis' Students
Month
1 2 3 4 5 6 7 8 9
Number of
4
8 2 1 2 0 2 2 3
Students
A. OD = {1, 2, 3, ..., 10, 11, 12); R = {0, 1, 2, 3, 4, 5, 8); continuous; function
B. OD = {1, 2, 3, ..., 10, 11, 12); R = {0, 1,2,3,4,5,8); discrete; function
C. OD = {all real numbers}; R = {all real numbers): continuous; function
D. OD = {all real numbers); R = {all real numbers); discrete; function

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step-by-step explanation:

answer:  

step-by-step explanation:

odd numbers are only divisible by 1 and itself.

even numbers are divisible by more than 1 and itself.

for example 6 is even because it is divisible by more than 1 and its self. 1 x 6= 6 ; 2 x 3= 6

and 7 is odd because only 7 x 1 equals seveb

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation:

the answer is d

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