Question

Which of the following functions is graphed below?

Answer 1

The correct answer is A.

Since all of the functions in this problem are exactly the same, all we are looking for is the proper "greater than" and "less than" signs.

The first part of the equation, represented by x^3 - 3 ends at 2. You'll notice that it ends in a closed dot. This means we must use a $\leq$ rather than a <. The equals bar always goes below the sign when it is a closed dot.

The opposite is true for the second part, which includes an open dot. This means we must use a > instead of a $\geq$.

Since A is the only one that has those as choices, it is the correct answer.