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Studentka2010 [4]
2 years ago
10

Set C is the set of natural numbers less than 7.

Mathematics
1 answer:
In-s [12.5K]2 years ago
8 0

Answer:

C = {1, 2, 3, 4, 5, 6}

C = {x ∈ N | x < 7}

Step-by-step explanation:

Hello!

Natural numbers are integers greater than 0 and not including it.

Lets list the natural numbers until 10: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Now, set C contains all of the natural numbers less than 7, so we select all of the numbers before 7 into our set.

  • C = {1, 2, 3, 4, 5, 6}

The set contains numbers 1, 2, 3, 4, 5, and 6.

Set builder notation:

Keep the type of number at the start:

  • C = {x ∈ N | x < 7}
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Vertically stretched by a factor of 2, then translated<br> 4 units left and 1 unit down
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A vertical stretch of scale factor 2, followed by a translation of 4 units left and 1 unit down is written as:

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<h3>How to write the given transformation?</h3>

For a general function f(x), a vertical stretch of scale factor K is written as:

g(x) = K*f(x).

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For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

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<u><em>Vertical translation:</em></u>

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

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So, if we start with a function f(x) and we stretch it vertically with a scale factor of 2, we get:

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