Explain the difference between the union and intersection of two sets.
1 answer:
The union of two sets<span> A and B is the </span>set<span> of elements which are in A, in B, or in both A and B. In symbols, . For example, if A = {1, 3, 5, 7} and B = {1, </span>2<span>, 4, 6} then A ∪ B = {1, </span>2<span>, 3, 4, 5, 6, 7}.
The intersection of 2 sets depict elements that appear in both sets (all elements in B that also appear in A). In the Venn diagram, the intersection of the sets are always in the middle of both sets. I attached a photo to show you the perfect example of the intersection of sets.
I hope it helps :)</span>
The intersection of 2 sets depict elements that appear in both sets (all elements in B that also appear in A). In the Venn diagram, the intersection of the sets are always in the middle of both sets. I attached a photo to show you the perfect example of the intersection of sets.
I hope it helps :)</span>
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Answer:
The function has been flipped due to the negative in front.
The function has been shifted 17 units to the left.
The function has been shifted 4.3 units down.
Step-by-step explanation:
When functions are transformed there are a few simple rules:
- Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
- Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
- Multiplying the function by a number less than 1 compresses it towards the x-axis.
- Multiplying the function by a number greater than 1 stretches it away from the x-axis.
- Multiplying by a negative flips the graph.
The graph of compares to
in the following ways:
The function has been flipped due to the negative in front.
The function has been shifted 17 units to the left.
The function has been shifted 4.3 units down.