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Ivanshal [37]
2 years ago
5

Someone please help. Ill give you brainiest.

Mathematics
1 answer:
Dimas [21]2 years ago
8 0
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 :)

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Marta_Voda [28]

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y = 9x + (-7) should be the answer

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1 + 1 + 23 + 77 +109 + 4568+ 32?
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2 years ago
What is the solution to the system of equations below? -4x+6y=-18 and y=-2x+21
Verdich [7]

Answer:

x=9 and y=3

Step-by-step explanation:

Let's solve your system by substitution.

−4x+6y=−18 and y=−2x+21

Rewrite equations:

y=−2x+21;−4x+6y=−18

Step: Solve  y=−2x+21for y:

y=−2x+21

Step: Substitute−2x+21foryin−4x+6y=−18:

−4x+6y=−18

−4x+6(−2x+21)=−18

−16x+126=−18(Simplify both sides of the equation)

−16x+126+−126=−18+−126(Add -126 to both sides)

−16x=−144

−16x

−16

=

−144

−16

(Divide both sides by -16)

x=9

Step: Substitute9forxiny=−2x+21:

y=−2x+21

y=(−2)(9)+21

y=3(Simplify both sides of the equation)

Answer:

x=9 and y=3

3 0
3 years ago
If (7^0)^x = 1, what are the possible values of x? Explain your answer.
kobusy [5.1K]

Hello,

What do you think of 7^0 ?

It is 1

and what do you think of 1^x  ?

it is 1

and the solution of 1 = 1 ?

There is an infinity of solutions as 1 = 1 is always true.

thanks

6 0
3 years ago
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