Domain: set of all numbers that can be inputted into a function
Since you cannot take the square root of a negative number, this means that x-4 CANNOT be negative. So it's either 0 or it's positive.
So..
<span>x−4≥0
</span>x−4+4≥0+<span>4
</span>x≥<span>4
</span>So this says: "Any number greater than or equal to 4 will result in x-4 being either 0 or some positive number"
So this means that the domain is
<span>{x|x≥4}
</span>This basically says: "the domain is the set of all numbers x such that x is greater than or equal to 4"
In interval notation, the domain is <span>[4,∞)
</span>The range is the set of all possible outputs. We can find the most extreme point of the range by plugging in the most extreme value for the domain
<span>
sqrt(x-4) = </span>sqrt(4-4) = <span>sqrt(0) = 0
</span>So the smallest possible output is y=0, which means that the range is
<span>{y|y≥0<span>}
</span></span>
This basically says: "the range is the set of all numbers y such that y is greater than or equal to 0"
In interval notation, the range is
<span>[0,∞)</span>
A. A closed circle on nine means that she can have 9 to buy the dress, but she can also have more.
1 lb=16 oz
1 x 2.5=2.5 lb 16 oz x 2.5=40 oz
so 2.5 lb= 40 oz
Therefore, they weigh the same amount
