1. The domain of a sqrt(x) is x > 0. So, L > 0.
2. The range of a S(x) = sqrt(x) is S(x) > 0 for all valid x > 0.
Answer:
The function is 
Step-by-step explanation:
From the question we are told that
The rate of growth is
The total profit is
$25,000
The time taken to make the profit is 
From the question
is the rate of growth
Now here x represent the time taken
Now the total profit is mathematically represented as

So using substitution method
We have that


So

![p(x) = {\frac{1}{2} [ e^{-u}} +c ]](https://tex.z-dn.net/?f=p%28x%29%20%3D%20%20%7B%5Cfrac%7B1%7D%7B2%7D%20%5B%20e%5E%7B-u%7D%7D%20%2Bc%20%5D)
recall
and let 
At x = 2 years
$25,000
So
Since the profit rate is in million
$25,000 =
$0.025 millon dollars
So
=>
So the profit function becomes

Answer:
Vertex (2,2)
y- Intercept is 10
On problems like this, use Desmos Graphing. It helps a lot.
<span>Outcome Bag of Gold Magic Wand
Relative frequency 0.32 0.68
</span><span>The relative frequency of getting a bag of gold is .......... reasonably close
</span>
.32 is close to 30% so
<span>Alison's claim about the theoretical probability is likely to be 2............true
Further, this means that the theoretical probability of getting a magic wand is most likely 3............1 - 30% = 70%</span>