(i) the set of months which begin with the letter i
(ii) the set of men who have landed on the moon.
(iii) the set of pupils in your class who are under 8 years
(iv) the set of whole numbers between 31 and 33
(v) the set of women who are more than 100 years old.
(vi) the set of students in your class who study nuclear physics
vii) {0}.
ii) the set of months of the year which begin with a vowel.
x) the set of foods that old mother hubbard found in the cupboard
x) the set of odd numbers which are divisible by 2.
an you think of any even numbers that are divisible by 5?

step-by-step explanation:

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: