Finding the Domain and Range of a Graph
2 answers:
Answer:
1) Domain = {x ∈ R | -4 < x ≤ 3}
Step-by-step explanation:
In this case, we have a line segment made up by two points (-4,-5) and (3,-3)
1) To find the Domain, is to find the set of values x may assume for a function.
We can also write it as compound inequality which is a complete form of writing it since inform us the set, the conditions.
{x ∈ R | -4 < x ≤ 3}
Or simply the interval (-4,3]
2) Range or Image is the set of values y may assume once you plug it in valid values for the Domain.
{y ∈ R| -5>y≥-3} or Simply (-5, -3]
Answer:
Step-by-step explanation:
By looking at the graph I notice an open circle at (-4, -5) which means the function is not evaluable at -4, this restricts the domain.
The Domain of a function represents the set of values for which the function has an output.
The Range of a function is the set containing all the possible values associated with all input.
Domain in interval notation: (-4, 3]. The parenthesis denotes that the interval does not contain the extreme point -4. The brackets are the opposite.
Domain in set builder notation:
Range in interval notation: (-5, -3]
Range in set builder notation:
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