Question

Examine the following step function. Open circle at (negative 1, 0) connected by a line to closed circle at (0, 0). Open circle at (0, 1) connected by a line to a closed circle at (1, 1). Pattern continues.© 2018 StrongMind. Created using GeoGebra. Which statements are true?Select all that apply.

Answer 1

From the given graph, let's select the correct statements.

Here, since the open dots are on the left and the closed dots are on the right, the function can be said to be a ceiling function.

Ceiling functions are functions which give the smallest value which is greater than or equal to the specified value on the number line.

Therefore, the correct statements are:

• 1. It is a ceiling function.

• 2. Any decimal or fraction rounds to the least integer that is greater than x.

ANSWER:

• B. It is a ceiling function.

• C. Any decimal or fraction rounds to the least integer that is greater than x.