Respuesta :

sqdancefan

Evaluate the function at the three values of the range and see what you get. The appropriate choice is ...

... D) {15, 3, 0}

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Evaluation can sometimes be simpler if you rearrange the function to a form called "Horner's form."

... f(x) = (x -4)x +3

Then the evaluation looks like (for x=-2) ...

... f(-2) = (-2-4)(-2)+3 = (-6)(-2) +3 = 12 +3 = 15

This is sufficient to identify D as the answer of choice.

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Using the concepts of domain and range, it is found that the range of the data-set is {15,3,0}, given by option D.

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  • The domain of a data-set is the set that contains all possible input values.
  • Thus, in this problem, the domain is {-2, 0, 1}.

  • The range of a data-set is the set that contains all possible output values, that is, the set of values that are related to the domain.

The function is:

[tex]f(x) = x^2 - 4x + 3[/tex]

Applying for every value in the domain:

[tex]f(-2) = (-2)^2 - 4(-2) + 3 = 4 + 8 + 3 = 15[/tex]

[tex]f(0) = (0)^2 - 4(0) + 3 = 3[/tex]

[tex]f(1) = (1)^2 - 4(1) + 3 = 1 - 4 + 3 = 0[/tex]

Thus, the range is {15,3,0}, given by option D.

A similar problem is given at https://brainly.com/question/24374080

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