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)
__
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]
_____
<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.
Exponential change can be modeled by:
N = N(0) x λⁿ; where λ is the rate of change. It is greater than 1 when there is growth and less than 1 when there is decay. n is the number of time periods passed.
λ is 1 + 0.083 = 1.083
N(0) is the initial value of 750
n is 2050 - 2005 = 45 years
N = 750 x (1.083)⁴⁵
= 27,000 fish
Answer:
(5, 9 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ), thus
(- 5, 9 ) → (5, 9 )
Answer:
15..
Step-by-step explanation:
4, 10, 14, 18, 22, 22
Mean = (4 + 10 + 14 + 18 + 22 + 22)/6
= 90/6
= 15.
Number to be added, 'y'
For the mean to be the same
(90 + y) / 7 = 15
90 + y = 15 × 7
90 + y = 105
y = 105 - 90
= 15
