Here's some examples though, 5 example of not well defined sets: - Number of fire damages. - Number of reported crime scenes. ... - Numbers of illegal settlers.

Red, blue, yellow, green, purple is well-defined since it is clear what is in the set.

3 0

2 years ago

the function f(x)= sqrt x is translated left 5 units and up 3 units to create the function g(x). what is the domain of g(x)?

Zinaida [17]

Answer:

x ≥ -5

Step-by-step explanation:

If we have a translation to left c units, we write " x + c " in the function, and

If we have a translation to right c units, we write " x - c" in the function

If we have vertical translation up b units, we "add b to the function", and

If we have vertical translation down b units, we "subtract b to the function"

The parent function is $f(x)=\sqrt{x}$

Since translation left 5 units and up 3 units, we can write:

$f(x)=\sqrt{x+5} + 3$

The domain is affected by the square root sign and we know the number under the square root CANNOT be negative, so we can say:

x + 5 ≥ 0

x ≥ -5

This is the domain.

3 0

3 years ago

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