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inessss [21]
3 years ago
12

Which explains why the graph is not a function?

Mathematics
2 answers:
lions [1.4K]3 years ago
5 0

The graph is not a function because there are two different y-values for a single x-value. Option (d) is correct.

Further explanation:

Given:

The options are as follows,

(a). It is not a function because the points are not connected to each other.

(b). It is not a function because the points are not related by a single equation.

(c). It is not a function because there are two different x-values for a single y-value.

(d). It is not a function because there are two different y-values for a single x-value

Explanation:

The output values of the function are known as range and the input values on which function is defined is known as the domain of the function.

The one-to-one function is a function in which every value of the range has exactly one pre-image in the domain.

One-to-one function always passes the vertical line test and the horizontal line test.

The given graph doesn’t pass the vertical line test.

The given graph has two values for x=4.

The graph is not a function because there are two different y-values for a single x-value. Option (d) is correct.

Option (a) is not correct.

Option (b) is not correct.

Option (c) is not correct.

Option (d) is correct.

Kindly refer to the image attached.

Learn more:

  1. Learn more about inverse of the function brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497.

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Relation and Function

Keywords: relations, functions, all relation are functions, all functions are relations, no relations are functions, no functions are relation, one-to-one, onto, graph representation, paired, y-value, x-values, origin.

Kamila [148]3 years ago
3 0

Answer:- D.It is not a function because there are two different y-values for a single x-value.


Explanation:-

  • A function is a relation where each input(x) has a single output(y).

From the given graph we can see that there are 2 different values of y i.e. y=-2 and y=4 for single x=4.

Therefore, D is the right answer. The graph is not a function because it is not a function because there are two different y-values for a single x-value.



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From the diagram;
1. Angle 2 = ADB+BDH
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                                           = 34 +90 
                                           = 124°

2. Angle 4= 90°,
Reason ; the angle between a tangent and a radius is equal to 90. A tangent is a line that touches the circumference of a circle once even if prolonged.

3. Angle 5 = 90 -BDC (note the acr subtends twice the angle it subtends on the circumference to the center.
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4. Angle 6 = BFD
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             But DE = 180 -121 = 59
Therefore, BFD = 180 -34-29.5
             = 116.5°

5. Angle 1 = 180- BFD (angles on a straight line add up to 180°)
              = 180- 116.5
              = 63.5°
           

6. Angle 3 = 180 -(ADB+BFD)
             = 180 -(34 +116.5)
             =  180- 150.5
             = 29.5°
similarly angle 3 = DE/2 = 59/2 = 29.5°

7. Angle 8= 90, because BD is diameter;
 angles subtended by a diameter to the circumference is always a right angle (90°)


8.Angle 7 =  BE
               but BE= AB+AE
                          = 68+ 53
                          = 121°
                 


    
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