PLEASE HELP
Find the range of the following piecewise function.
[27,3)
(-22,3]
(27,3]
[-22,3)
I think the answer is b.22,3
Lacking adequate data.
To find the range of a piecewise function, we need to determine the set of all possible output values or y-values that the function can take.
Let's analyze each part of the given piecewise function:
1. [27,3): This represents all values from 27 to 3, including 27 but not including 3. The range for this part of the function is the interval [27,3).
2. (-22,3]: This represents all values from -22 to 3, including 3 but not including -22. The range for this part of the function is the interval (-22,3].
3. (27,3]: This represents all values from 27 to 3, including both 27 and 3. The range for this part of the function is the interval (27,3].
4. [-22,3): This represents all values from -22 to 3, including -22 but not including 3. The range for this part of the function is the interval [-22,3).
Combining the ranges from each part, we get the overall range of the piecewise function as the union of all the ranges. So, the combined range of the given piecewise function is:
[-22,3) ∪ [27,3) ∪ (27,3] ∪ (-22,3]
Note: The symbol ∪ denotes the union of intervals, which means combining all the intervals together without any overlap or repetition.
If you need further assistance or clarification, please let me know.