The Greatest Integer Function Is Defined by , Where

question 6

Essay

The greatest integer function is defined by , where is the unique integer such that .
The graph of is shown in the figure.
A) For which values of does exist?
B) For which values of does exist?
C) For which values of does exist?

• A) For which values of does exist?
• B) For which values of does exist?
• C) For which values of does exist?

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Definitions:

Independent Variable

An independent variable is the variable in an experiment or study that is manipulated or changed by the researcher to observe its effect on the dependent variable.

Dependent Variable

In an experiment, the variable that is tested and measured, expected to change due to the independent variable.

Experimental Group

In research, a group of subjects exposed to the variable under study to determine its effects, contrasted with a control group.

Placebo

An inactive substance or treatment given to a patient instead of medication, used in controlled experiments to test effectiveness.