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Exercise 2.1.1 functions: for the given function and domain, specify the associated range: Function: y= 5(1/x) Domain: (1,2,3,4,5,6)
Function: s= Ix+4I Domain: -6≤ x ≤ 6



Answer :

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Case 1 - Range: (5, 5 / 2, 5 / 3, 5 / 4, 1, 5 / 6)

Case 2 - The range of the function is 0 ≤ s ≤ 10.

What are the range of a function?

Functions are characterized by three elements:

  • An input set known as domain.
  • An output set known as range.
  • Relationships between elements from the domain to the range such that each element of the domain is related to only one element of the range.
  • These relations may be represented, but not exclusively, by equations.  

The elements of the range are determined by evaluating each function:

Case 1 - y = 5 · (1 / x)

x = 1

y = 5 · (1 / 1) = 5

x = 2

y = 5 · (1 / 2) = 5 / 2

x = 3

y = 5 · (1 / 3) = 5 / 3

x = 4

y = 5 · (1 / 4) = 5 / 4

x = 5

y = 5 · (1 / 5) = 1

x = 6

y = 5 · (1 / 6) = 5 / 6

Range: (5, 5 / 2, 5 / 3, 5 / 4, 1, 5 / 6)

Case 2 - s = |x + 4|

x = - 6

s = |- 6 + 4| = |- 2| = 2

x = - 4

s = |- 4 + 4| = |0| = 0

x = 6

s = |6 + 4| = |10| = 10

The range of the function is 0 ≤ s ≤ 10.

To learn more on functions: https://brainly.com/question/12431044

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