Answer:
The domain and range of the function shown in the graph will be:
{x|x ≥ -4}; {y|y ≥ 2}
Thus, option 2 is true.
Step-by-step explanation:
- We know that domain is the set of all possible values for which is the function is defined.
First, let's check the domain. We see a closed circle at x = -4 and the graph is heading towards +ve infinity i.e. [-4, ∞).
A closed circle means the point is included in the domain.
Therefore, the domain is:
{x|x ≥ -4}
- We know that the range is the set of values of the dependent variable for which a function is defined.
Now, let's check the range. We see a closed circle at y = 2 and the y-values of the graph are heading towards +ve infinity. i.e. [2, ∞)
Therefore, the range is:
{y|y ≥ 2}
Hence, the domain and range of the function shown in the graph will be:
{x|x ≥ -4}; {y|y ≥ 2}
Thus, option 2 is true.
