Ineed ! i don’t understand this math..

Option C. The range is y≥2

Step-by-step explanation:

To solve this, we're gonna demonstrate that all options except option C. are wrong.

Option A. The vertical line confirms that the graph is a function. FALSE.

The vertical line is called the y-axis and it's used as a reference to graph functions. It does not confirm that a graph is a function.

Option B. The domain is x≥2. FALSE.

The domain of a function is the set of possible values of the independent variable "x". In this case, we can deduce from the graph that the variable "x" can take values less than 2.

Option C. The Range is  x≥2. TRUE.

The range of a function is the set of all output values of a function. We can deduce from the graph that the variable "y" takes values greater than 2. For that reason, the statement is true.

Option D. This piecewise function is made out of 4 intervals. FALSE.

The function is made out of two intervals. A concave function for x≤2 and a line for x≥2.

Option E. Each interval of the piecewise function contains a graph of a linear function. FALSE.

When x≤2, the graph corresponds to a concave function. So, this interval is not linear.