Answer:
- Square brackets [ or ] are used when the end point is included.
- Parentheses ( or ) are used when the end point is not included.
Step-by-step explanation:
The domain is the horizontal extent of the graph. Here, it is from -2 to +3, with -2 included in the domain and +3 not included.
As an inequality, the domain is written ...
-2 ≤ x < 3
In interval notation, we use a square bracket for the "or equal to" case:
[-2, 3)
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The range is the vertical extent of the function. Here, the range extends from -4 (not included) to +5 (included).
As an inequality, the range is written ...
-4 < y ≤ 5
In interval notation, the range is written using a square bracket for the "or equal to" case:
(-4, 5]
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<em>Comment on infinity</em>
There is no such thing as "equal to infinity" so an infinite limit is always represented in interval notation using a parenthesis.
Answer: -3 ≤ x ≤ -1
Step-by-step explanation:
1 ≤ 3 - 4x ≤ 9
1 + 3 ≤ - 4x ≤ 9 + 3; Add 3 on all sides
4 ≤ -4x ≤ 12
1 ≤ -x ≤ 3; Divide 4 on all sides
-1 ≥ x ≥ -3; Multiply -1 on all sides(FYI: When multiplying or dividing negative numbers in inequalities, make sure to reverse the signs as well)
Answer:
distance = 5
Step-by-step explanation:
Use Pythagorean Theorem or Distance Formula (which comes from Pythagorean Thm anyway) see image.
Answer: 36
Step-by-step explanation:
By the triangle midsegment theorem, CE=16, CD=10, and ED=10.
So, the perimeter of triangle CDE is 10+10+16=<u>36</u>
