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Read the description of f below, and then use the drop-down menus to complete an
explanation of why f is or is not a function.
f relates each student in Mrs. Conner's science class to their high and low test
scores.

Read the description of f below, and then use the drop-down menus to complete an explanation of why f is or is not a function. f relates each student in Mrs. Co class=

Answer :

SaniShahbaz

Answer:

  • The domain of [tex]f[/tex] is : {student}
  • The range of [tex]f[/tex] is : {High Test Score, Low Test Score}
  • [tex]f[/tex] is a function because  each student corresponds to one element of the range.

Step-by-step explanation:

Here are important things for a relationship to be a function:

  • Every element in X is related to some element in Y.
  • A function cannot have one-to-many relationship.
  • A function must contain single valued

In the giving diagram of the question, it is clear that:

  • Each student corresponds to one element of the range: High Test Score or Low Test Score.

Therefore,  [tex]f[/tex] is a function.

As domain of a function is the set of all the x-values of a ordered pair.

So,

The domain of [tex]f[/tex] is : {student}

And range of a function is the set of all the y-values of a ordered pair.

So,

The range of [tex]f[/tex] is : {High Test Score, Low Test Score}

Therefore, from the above discussion we conclude that  [tex]f[/tex] is a function because each student, or each element of the domain of the function corresponds to one element of the range.  

Keywords: function, domain, range, relation

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snowdroploving

Answer:

The domain of f is:

The students in Mrs. Conner's science class

The range of f is:

The test scores

F is not a function because each student, or each element of the domain, corresponds to more than one element of the range.

Step-by-step explanation:

As we know, inputs can only have one output. Looking at the diagram sh own, we see that the students have more than one output, automatically making the function incorrect. I mean, a student can't have both a high and a low test score! Hope this helped anyone. :)

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