Answer:
[-4,0) ∪ [2, ∞)
Step-by-step explanation:
For piecewise function domain and range, we need to understand the difference between "(" and "[" or ")" and "]"
- The parenthesis ( "(" and ")" ) are used for "open circles" in the graph.
- The brackets ( "[" and "]" ) are use for "closed circles" in the graph.
Range is the set of y-values for which the function is defined.
Now,
The upper part of the function shows the graph going from y = 2 towards infinity (arrow). At y = 2 , there is closed circle, so this part range would be
[2, ∞) (infinity is always with parenthesis)
Now, looking at bottom part, the function is defined from 0 (open circle) to -4 (closed). so we can write:
[-4,0)
This is the range, 2nd answer choice is correct.
[-4,0) ∪ [2, ∞)
Answer:

Step-by-step explanation:

Answer:
F 55.9° G 27.6°
H 57.2° J 34.1°
Step-by-step explanation:
Answer:
The function with blue line (see attachment) represents the graph of
after it is translated 3 units down.
Step-by-step explanation:
Mathematically speaking, a translation in the y-direction is defined by the following expression:
(1)
Where:
- Resulting function.
- Original function.
- Translation factor (
- Translation in the +y direction/
- Translation in the -y direction).
If we know that original function is translated 3 units down and
, then the resulting function is:

Lastly, we graph both original and resulting functions with the help of a graphing tool, whose outcome is presented in the image attached below:
Please notice that the red line represents the original function, whereas the blue line represents the resulting function.
Step-by-step explanation:
<u>The two cameras will have total view of:</u>
<u>The angle to be viewed is:</u>
This is not sufficient to cover the needed area as 220° < 255°
<u>The cameras should have a minimum view of:</u>