Respuesta :

joy123333

The range is:                 {−28, −15, −2, 11, 24}

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To find the range, substitute each 'x' from the domain into the function.

Vocabulary

Domain means all of the numbers that 'x' can be.

  • In this problem, 'x' can be −2, −1, 0, 1, and 2.

Range means all of the numbers that 'y' can be.

  • We are looking for all of the 'y's using 'x'.

A function can be an equation that relates the 'x' and 'y' variables.

  • We can replace 'f(x)' in an equation with the 'y' variable.
  • In this problem, the function is f(x) = 13x −2, or y = 13x −2.

Substitute into the function

Let's take each number from the domain to substitute 'x'. Remember to follow BEDMAS when solving for 'y'.

If x = −2:

f(x) = 13x − 2

f(−2) = 13(−2) − 2

f(−2) = −26  − 2

f(−2) = −28

If x = −1:

f(x) = 13x − 2

f(−1) = 13(−1) − 2

f(−1) = −13 − 2

f(−1) = −15

If x = 0:

f(x) = 13x − 2

f(0) = 13(0) − 2

f(0) = −2

If x = 1:

f(x) = 13x − 2

f(1) = 13(1) − 2

f(1) = 13 − 2

f(1) = 11

If x = 2:

f(x) = 13x − 2

f(2) = 13(2) − 2

f(2) = 26 − 2

f(2) = 24

Write the Range

To write the range, list all of the 'y' values we calculated for from least to greatest. Write the numbers inside braces (curly brackets). Writing the range or domain inside braces is called set notation.

  • {−28, −15, −2, 11, 24}

Therefore, the range is {−28, −15, −2, 11, 24}.

Practice another problem finding range given domain here:

https://brainly.com/question/28472058

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