1. What would be a more appropriate domain for Noah to use instead?
2. What is the approximate maximum volume for his box?

Mai wants to make an open-top box by cutting out the corners of a square piece of cardboard and folding up the sides. The cardboard is 10 centimeters by 10 centimeters. The volume \(V(x)\) in cubic centimeters of the open-top box is a function of the side length \(x\), in centimeters, of the square cutouts.

1. Write an expression for \(V(x)\).
2. What is the volume of the box when \(x=3\)?

The area of a pond covered by algae is \(\frac{1}{4}\) of a square meter on day 1, and it doubles each day. Complete the table.

day	1	2	3	4	5	6
area of algae in square meters

Here is a table showing values of sequence \(p\). Define \(p\) recursively using function notation.

\(n\)	\(p(n)\)
1	5,000
2	500
3	50
4	5
5	0.5

Match each quadratic expression in standard form with its equivalent expression in factored form.

Evaluate each function when \(x=\text-2\). 

1. \(f(x) = x^2-3x+5\)
2. \(g(x)=8x + 3x^2\)
3. \(h(x) = (x-6) (x+7)\)