Someone please help. Ill give you brainiest.
1 answer:
19. The absolute value equation of the graph is: y — | x - 0 | + 2 where (0,2) is the vertex.
Domain: (-∞, ∞)
Range: (-∞, 2]
A function is a relation in which no two ordered pairs have the same first component (inputs/x-values/domain) and different second components (outputs/y-values/range).
In determining whether a given relation is a function, we need to ask ourselves, does every first element (or input) correspond with EXACTLY ONE second element (or output)?
In the case of an absolute value function, its relation is a function because each input corresponds to exactly one output. To demonstrate, I performed a Vertical Line test to show why it is a function.
The Vertical Line Test (VLT) allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function. As the attached graph of the absolute value function, EACH vertical line drawn crosses the graph only once. This graph passes the VLT, making it a function.
20.)
The set of first components (x-coordinates) in the ordered pairs is the DOMAIN of the relation.
The set of second components (y-coordinates) is the RANGE of the relation.
Domain: {-2, -1, 0, 1}.
Range: {4, 3, 2, 1, 0}.
The given relation is NOT a function. As you can see from the given diagram, the input value of 2 corresponds to two output values: 4 and 0.
Please mark my answers as the Brainliest if you find my explanation helpful :)
Domain: (-∞, ∞)
Range: (-∞, 2]
A function is a relation in which no two ordered pairs have the same first component (inputs/x-values/domain) and different second components (outputs/y-values/range).
In determining whether a given relation is a function, we need to ask ourselves, does every first element (or input) correspond with EXACTLY ONE second element (or output)?
In the case of an absolute value function, its relation is a function because each input corresponds to exactly one output. To demonstrate, I performed a Vertical Line test to show why it is a function.
The Vertical Line Test (VLT) allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function. As the attached graph of the absolute value function, EACH vertical line drawn crosses the graph only once. This graph passes the VLT, making it a function.
20.)
The set of first components (x-coordinates) in the ordered pairs is the DOMAIN of the relation.
The set of second components (y-coordinates) is the RANGE of the relation.
Domain: {-2, -1, 0, 1}.
Range: {4, 3, 2, 1, 0}.
The given relation is NOT a function. As you can see from the given diagram, the input value of 2 corresponds to two output values: 4 and 0.
Please mark my answers as the Brainliest if you find my explanation helpful :)
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The elements are :
<span> 2,3,5,8,2.03,2.20,2.6,4.5
n = 8
</span>μ = ( <span>2 + 3 + 5 + 8 + 2.03 + 2.20 + 2.6 + 4.5 )/8 = 3.66625
sum = (</span> 2 - <span>3.66625)² + ( 3 </span><span>- 3.66625)² + ( 5 </span><span>- 3.66625)² + ( 8 </span><span>- 3.66625)² +
( 2.03 </span><span>- 3.66625)² + ( 2.20 </span><span>- 3.66625)² + ( 2.6 </span><span>- 3.66625)² + ( 4.5 </span>- <span>3.66625)²
= 30.44
∴ </span>The standard deviation = √ (30.44 / 8)
≈ 1.95 ( <span>to the nearest hundredth )</span>
Answer:
(3,9)
Step-by-step explanation:
So I drew a right triangle with the line segment A(1,-9) to C as the hypotenuse. This line segment does contain point B(2,0). This is shown in the picture.
We want to find a point C so that AB to BC has a ratio of 1:1. So this means B is the midpoint really.
So if we averaged the endpoints of the line segment it would equate to point B.
That is:
and
Multiply both sides by 2:
and
The first equation can be solved by subtracting 1 on both sides giving .
The second equation can be solved by adding 9 on both sides giving
.
Point C is (3,9).
