You define a function f(x) which gives the cost of buying x packages of cookies. You are asked for the domain of the function. That is, what values can x take on? x is the number of packages bought.
It makes no sense to buy a negative number of packages. It also makes no sense to buy 1/2 a package or 3/4 of a package as the store won’t sell you a fraction of a package. Try going to the store and buying half a package of oreo cookies. I doubt you’ll get very far :)
So it makes sense to buy 0, 1, 2, 3, 4, ... boxes of cookies. These are whole numbers. So the domain is the set of whole numbers. You could also write the domain like this {0, 1, 2, 3, ...} making sure to use the curly brackets as those denote a set.
A is true. Thus D is also true. The result of the synthetic division shows C is true.
The appropriate choices are ...
A. (x - 2) is a factor of 3x² - 11x + 10
C. (3x² - 11x + 10) ÷ (x - 2) = (3x - 5)
D. The number 2 is a root of F(x) = 3x² - 11x + 10
You want it to be greater than and equal to 2. A closed circle means to include 2 so you want a closed circle and to the right is to bigger numbers so you want to the right. So the answer is b. Number line with closed circle on 2 and shading to the right.
The best choice would be the option 3cm
