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Black_prince [1.1K]
3 years ago
14

Write a function in any form that would match the graph shown below

Mathematics
1 answer:
Basile [38]3 years ago
6 0

Answer: The most common graphs name the input value  

x

and the output value  

y

, and we say  

y

is a function of  

x

, or  

y

=

f

(

x

)

when the function is named  

f

. The graph of the function is the set of all points  

(

x

,

y

)

in the plane that satisfies the equation  

y

=

f

(

x

)

. If the function is defined for only a few input values, then the graph of the function is only a few points, where the x-coordinate of each point is an input value and the y-coordinate of each point is the corresponding output value. For example, the black dots on the graph in the graph below tell us that  

f

(

0

)

=

2

and  

f

(

6

)

=

1

. However, the set of all points  

(

x

,

y

)

satisfying  

y

=

f

(

x

)

is a curve. The curve shown includes  

(

0

,

2

)

and  

(

6

,

1

)

because the curve passes through those points.

Graph of a polynomial.

The vertical line test can be used to determine whether a graph represents a function. A vertical line includes all points with a particular  

x

value. The  

y

value of a point where a vertical line intersects a graph represents an output for that input  

x

value. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that  

x

value has more than one output. A function has only one output value for each input value.

Three graphs visually showing what is and is not a function.

HOW TO: GIVEN A GRAPH, USE THE VERTICAL LINE TEST TO DETERMINE IF THE GRAPH REPRESENTS A FUNCTION.

Inspect the graph to see if any vertical line drawn would intersect the curve more than once.

If there is any such line, the graph does not represent a function.

If no vertical line can intersect the curve more than once, the graph does represent a function.

Step-by-step explanation:

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Solve 41-9+(8×2.3)-15+(2.1×4)
dsp73
(8x2.3)= (18.4)
(2.1x4)= (8.4)
Now you should have:
41-9+18.4-15+8.4
9+18= 27
15+8.4= 23.4
Should have:
41-27-23.4= -9.4
6 0
3 years ago
Solve the given system by the substitution method. <br>3x + y = 14 <br>7x - 4y = 20​
Eva8 [605]

Answer:

(4, 2 )

Step-by-step explanation:

Given the 2 equations

3x + y = 14 → (1)

7x - 4y = 20 → (2)

Rearrange (1) making y the subject by subtracting 3x from both sides

y = 14 - 3x → (3)

Substitute y = 14 - 3x into (2)

7x - 4(14 - 3x) = 20 ← distribute parenthesis and simplify left side

7x - 56 + 12x = 20

19x - 56 = 20 ( add 56 to both sides )

19x = 76 ( divide both sides by 19 )

x = 4

Substitute x = 4 into (3) for corresponding value of y

y = 14 - 3(4) = 14 - 12 = 2

solution is (4, 2 )

8 0
2 years ago
Read 2 more answers
In the figure, and bisect each other. Complete the statements to prove that quadrilateral ABCD is a parallelogram.
Alisiya [41]

Observe the figure below.

    Statement                                                                          Reason

1. AC and BD bisect each other                                             Given

2. AE = EC and BE = ED                                                         Definition of bisection

3. m \angle AEB = m \angle CED                       Vertical angle theorem

Vertical angle theorem states " When two lines intersect each other, the vertically opposite angles are always equal".

4. \Delta ABE \cong \Delta CDE                         SAS criterion for congruence

5. m \angle ACD = m \angle CAB           Corresponding angles of congruent triangles are congruent

6. AB \parallel CD                                 Converse of alternate interior angle theorem

7.  m \angle BEC = m \angle AED                   Vertical angle theorem

8.  \Delta BEC \cong \Delta DEA            SAS criterion for congruence

9.  BC \parallel AD                                 Converse of alternate interior angle theorem

As, \Delta BEC \cong \Delta DEA, so m \angle CBD = m \angle BDA as corresponding parts of corresponding triangles are equal. As these angles are alternate interior angles, so the lines BC and AD are parallel by  "Converse of alternate interior angle theorem".

5 0
3 years ago
A husband and wife have normal vision, although both of the couple's fathers are red–green color-blind, an inherited X-linked re
Mekhanik [1.2K]

Answer:

1/2

Step-by-step explanation:

Since the recessive gene is carried in the x chromosome and a father can only pass it to a daughter, the father doesn't have the disease nor carries it.

The mother carries the recessive gene because her father passed her his conditioned gene (only having one x chromosome), while her mother gave her a normal one so she can have normal vision.  

The chance of having a boy or a girl is 1/2 and the chance of this baby of having both recessive gene is null because in order to have a girl that is color blind both her x chromosomes must have the recessive gene, but the father can't pass it since he doesn't carries it. Therefore the combined probability is 1/2*(1-0) = 1/2.

7 0
3 years ago
The temperature at 6:00 A.M. 58 degrees Fahrenheit. The temperature increased at a constant rate of 3 degrees Fahrenheit every h
Tasya [4]

Answer: c. (t:58\leq t\leq 70)

Step-by-step explanation:

given data:

T =  58 degree Celsius.

changes in temperature = 3dregres every hour = 4.

solution:

t=58+3h\\where h = 4

substitute the value for h into the equation.

t=58+3(4)\\t=58+12\\t=70

the set with 58\leq t\leq 70  best represents the function range.

5 0
3 years ago
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