List all subsets of {a, b,c, d,e} containing {a, e} but not containing c

The subsets of {b, d} are {}, {b}, {d}, {b, d}. Thus the subsets of interest to you are

... {a, e}, {a, b, e}, {a, d, e}, {a, b, d, e}

We know your final sets will include {a, e}, so they're not part of the variable portion of the subsets. We know c is not included, so we can leave it out of consideration. That leaves only b and d included (or not) in the variable portion of the sets of interest. We only needed to find all the ways that we could have b or d or neither or both, that is, the subsets of {b, d}. Then we form the union of each of those subsets with {a, e}.

the correct answer is b. negative exponential growth.

step-by-step explanation:

you can tell it's an exponential function because it decreases rapidly then levels out and never touches the x-axis.

it is negative because the y-axis decreases as the x-axis increases.

therefore it is a negative exponential growth graph.

hope i !