9514 1404 393
Answer:
- domain: all real numbers. -∞ < x < ∞, or (-∞, ∞)
- range: real numbers greater than or equal to 1. 1 ≤ y < ∞, or [1, ∞)
- FUNCTION (passes the vertical line test)
Step-by-step explanation:
The arrows on the ends of the red curve mean that the graph extends to infinity in those directions. For very large positive x, the y-value is very large; for very large negative x, the y-value is also very large.
Domain
The domain is the horizontal extent of the graph. The arrows mean the graph extends horizontally from -∞ to ∞. Written as an inequality, this is ...
-∞ < x < ∞
Interval notation puts the limits in brackets: square brackets when the limit is included, and round brackets when the limit value is not included. Round brackets are used for infinity, which is not any specific number.
(-∞, ∞)
__
Range
The range is the vertical extent of the graph. Here, the graph extends down to a value of y=1 at x=0, and upward to infinity. Written as an inequality, the range is ...
1 ≤ y < ∞
In interval notation, this is ...
[1, ∞)
__
Function
The graph shows the relation is a function if no vertical line can be made to intersect the graph in more than one place. Here, that is the case, so this is the graph of a ...
FUNCTION
