182k views
2 votes
Determine the domain and range for the function below.

Determine the domain and range for the function below.-example-1
User Ed Hintz
by
5.3k points

1 Answer

4 votes

Answer:

Domain: (-∞, ∞); Range: [1, ∞)

Explanation:

Domain is the set/interval of x-values that the function spans while the range is the set or interval of y-values that the function spans.

Domain

We can see that the arrows point towards negative and positive infinity for x and also see there are no holes or asymptotes for this graph. Therefore, the domain is (-∞, ∞) or x is any real number

Range

We can see that the arrows both point towards infinity for y-values and that the lowest y-value this graph touches is y = 1 (inclusive, meaning this y-value is included in the range). Thus, the range is [1, ∞) or y ≥ 1

User Shajji
by
4.5k points