Answer:
Domain: (-∞, ∞)
Range: (-∞, ∞)
Explanation:
Domain and range help us describe the values a graph covers.
Defining Domain and Range
- The domain is defined as all the x-values included in a function.
- The range is defined as all of the y-values included in a function.
Remember that the x-values are along the horizontal axis, and the y-values are on the vertical axis.
The function given to us extends infinitely to the left and right as shown by the arrows. Additionally, the graph extends up and down infinitely; thus the range is also infinite.
Interval Notation
Interval notation should be written as (minimum value, maximum value). If the minimum and maximum values are included within the range or domain, then the parentheses should be replaced with brackets. This looks like [included minimum, included maximum]. Since a function cannot actually include infinity, an infinity symbol should never have brackets.
Eventually, this linear function will reach every single x and y-value in existence. So, both axes have a minimum of -∞ and a maximum of ∞. Thus, both the domain and range are (-∞, ∞).
Hint for future problems: all linear functions will have a domain and range of (-∞, ∞).