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The function g is defined as follows for the domain given.

g(x)=2x-2, domain = {-3, -2, 1, 5)
Write the range of g using set notation. Then graph g.

User Tonytony
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1 Answer

3 votes

Answer:

1. range = {-8,-6,0,8}

2. My graph is attached to this response as a photo.

Explanation:

1. ⭐What is the "domain" of a function?

  • Domain is another word for the x-values

What is the "range" of a function?

  • Range is another word for the y-values

What is the "set notation"?

  • Set notation is a way you can list numbers, such as x-values and y-values.
  • When writing in set notation, you must list the numbers from least to greatest.

Therefore, we have to find the corresponding y-values for the given x-values, and then write said y-values in set notation.

To find the corresponding y-values for the given x-values, substitute each given x-value into g(x) and solve for g(x).

When x = -3


g(x) = 2x-2


g(-3) = 2(-3) -2


g(-3) = -6 -2


g(x) = -8

✧ y = -8

________________________________________________________

When x = -2


g(-2) = 2(-2) -2


g(-2) = -4-2


g(-2) = -6

✧ y = -6

________________________________________________________

When x = 1


g(1) = 2(1) -2


g(1) = 2-2


g(1) = 0

✧ y = 0

________________________________________________________

When x = 5


g(5) = 2(5) -2


g(5) = 10 -2


g(5) = 8

✧ y = 8

________________________________________________________

Next, we have to write the y-values in set notation. Make sure to write it from least to greatest.

range = {-8, -6, 0, 8}

The function g is defined as follows for the domain given. g(x)=2x-2, domain = {-3, -2, 1, 5) Write-example-1
User Jerry Ajay
by
7.9k points

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