Answer:
It depends on the number of charms that your bracelet can have.
here we need to count the number of selections that we have, and the number of options for each one of these selections.
So if we can have only one charm, we have only one selection, and for that selection, we have 9 options, then there are 9 different one-charm bracelets.
If each bracelet can have 2 charms then we have two selections.
For the first selection, we have 9 options,
If each charm can be selected only one time, then for the next selection we will have 8 options, now the total number of combinations is equal to the product between the numbers of options for each selection, so here the total number of combinations is:
C = 9*8 = 72
If we can select 3 charms, then:
first charm = 9 options
second charm = 8 options
third charm = 7 options
Total number of combinations = 9*8*7 = 504 combinations.
Notice that we can not give an exact answer because we do not know the number of charms in each bracelet and we do not know if a charm can be selected multiple times or only one, but here you could see the general way to solve this kind of problems.
are all real numbers
we're translating the function horizontally, so the range remains the same
we're stretching the function horizontally, so the range doesn't change
we're translating the function 1 unit up, but the range is already all the real numbers, so it doesn't change.