Part (i) Let S be the set of all non-empty subsets of [1,2,4). Explai.pdf
Part (i) Let S be the set of all non-empty subsets of [1,2,4). Explain whether the following are functions with a suitable codomain. For those that are functions, explain whether they are one-to- one (injective) and what the codomain would need to be for them to be onto (surjective). [8 points] (a) c(a)=A for any set AS (b) s(A) is the sum of all elements in a set AS (c) p(A) is the product of all elements in a set AS (d) I(A) is the largest element in a set AS. Part (ii) Let e:AB and f:BC be functions for some arbitrary sets A,B, and C. Prove or disproise the following [ 4 points]: If fe is one-to-one (injective), then f is one-to-one (injective)..
Part (i) Let S be the set of all non-empty subsets of [1,2,4). Explai.pdf
Part (i) Let S be the set of all non-empty subsets of [1,2,4). Explain whether the following are functions with a suitable codomain. For those that are functions, explain whether they are one-to- one (injective) and what the codomain would need to be for them to be onto (surjective). [8 points] (a) c(a)=A for any set AS (b) s(A) is the sum of all elements in a set AS (c) p(A) is the product of all elements in a set AS (d) I(A) is the largest element in a set AS. Part (ii) Let e:AB and f:BC be functions for some arbitrary sets A,B, and C. Prove or disproise the following [ 4 points]: If fe is one-to-one (injective), then f is one-to-one (injective)..
![Part (i) Let S be the set of all non-empty subsets of [1,2,4). Explain whether the following are
functions with a suitable codomain. For those that are functions, explain whether they are one-to-
one (injective) and what the codomain would need to be for them to be onto (surjective). [8
points] (a) c(a)=A for any set AS (b) s(A) is the sum of all elements in a set AS (c) p(A) is the
product of all elements in a set AS (d) I(A) is the largest element in a set AS. Part (ii) Let e:AB
and f:BC be functions for some arbitrary sets A,B, and C. Prove or disproise the following [ 4
points]: If fe is one-to-one (injective), then f is one-to-one (injective).](https://image.slidesharecdn.com/partiletsbethesetofallnon-emptysubsetsof124-230402033008-07a6dbb1/75/part-i-let-s-be-the-set-of-all-nonempty-subsets-of-124-explaipdf-1-2048.jpg?cb=1680407805)
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Part (i) Let S be the set of all non-empty subsets of [1,2,4). Explai.pdf
- 1. Part (i) Let S be the set of all non-empty subsets of [1,2,4). Explain whether the following are functions with a suitable codomain. For those that are functions, explain whether they are one-to- one (injective) and what the codomain would need to be for them to be onto (surjective). [8 points] (a) c(a)=A for any set AS (b) s(A) is the sum of all elements in a set AS (c) p(A) is the product of all elements in a set AS (d) I(A) is the largest element in a set AS. Part (ii) Let e:AB and f:BC be functions for some arbitrary sets A,B, and C. Prove or disproise the following [ 4 points]: If fe is one-to-one (injective), then f is one-to-one (injective).