Answer:
- see the attached for domain
- Range: (-∞, 4], [3, ∞), [-3, 1]
Step-by-step explanation:
The domain is the horizontal extent of the graph. When the graph has arrows on the end, it extends to infinity in the indicated direction.
__
The range is the vertical extent of the graph.
<u>Left Graph</u>
We assume the curve is intended to touch, not cross, the line y=4, so the range is ...
range: (-∞, 4]
__
<u>Middle Graph</u>
We assume the graph continues along the line y=3 to the right indefinitely. Then this value is the minimum of the range.
range: [3, ∞)
__
<u>Right Graph</u>
The low point on the graph is at y=-3, and it looks like the graph continues to the right along the line y=1. Then the range is ...
range: [-3, 1]
Hw r v gon do that if y aint there in yo expression?
Answer:
First,
the age of the son: s
the age of the father is 2 less than 7 times the age of his son: 7s - 2
In 3 years, the sum of their ages will be 52, In 3 years, the age of the sun will
increase 3, so s+3. Also, the age of his
father also increase 3, (7s-2)+3
(s+3)+ [(7s-2)+3] = 52 is the equation.
D) (4,3)
E) (5,-1)
B) (3,-1)
C) (2,2)
First write both vectors in terms of their horizontal and vertical components.
G = (40.3 m)(cos(-35.0º) x + sin(-35.0º) y)
G = (33.0 x - 23.1 y) m
(where x and y are the unit vectors that point in the positive horizontal and vertical directions, respectively)
H = (63.3 m)(cos 270º x + sin 270º y)
H = (-63.3 y) m
Then the vector sum is
G + H = (33.0 x - 86.4 y) m
which has a magnitude of
|| G + H || = √[33.0^2 + (-86.4)^2] = 92.5 m
