Question

Jacob is taking part in a month long Reading challenge at his school. He can earn point for each book he reads, up to two dozen books. As shown in the graph P (b) gives the number of points Jacob earns as a function of the number of books he reads.

Answer 1

Observe the given graph carefully.

It is evident that 'b' is the independent variable (representing the number of books read) for the function f(b) (representing the number of points earned).

The domain of a function is the set of all values of the independent variable that lie within the function.

The graph is plotted from x=0 to x=24.

And the number of books cannot be fractional.

So it can be concluded that the domain of the function is the set of whole numbers from 0 to 24. Also, the function is also defined at the end-points. So the set will be inclusive of the end-points 0 and 24.

Therefore, the 2nd option is correct for the first blank.

The domain is a subset of all possible values of variable 'b'. So it will represent the number of books that Jacob reads.

Thus, the 1st option is the correct choice for the second blank.