Math Problem Statement

Find the domain of the function defined by the set of points below. Express your answer as a set of numbers. left parenthesis, minus, 7, comma, 0, right parenthesis, comma, left parenthesis, minus, 6, comma, minus, 4, right parenthesis, comma, left parenthesis, minus, 2, comma, 3, right parenthesis, comma, left parenthesis, 1, comma, minus, 10, right parenthesis (−7,0),(−6,−4),(−2,3),(1,−10)

Solution

The domain of a function consists of all the possible input values (x-values) that correspond to the points in the set.

Given the set of points: (−7,0),(−6,−4),(−2,3),(1,−10)(-7, 0), (-6, -4), (-2, 3), (1, -10) The domain is the set of all x-values in these ordered pairs, which are: −7-7, −6-6, −2-2, and 11.

Therefore, the domain of the function is: {−7,−6,−2,1}\{-7, -6, -2, 1\}

Would you like more details or have any questions?

Here are some related questions to think about:

  1. What is the range of this function based on the points provided?
  2. If you were given a different set of points, how would the domain change?
  3. How do you determine the domain of a function given its graph?
  4. How does the concept of domain apply to continuous functions?
  5. Can a function have the same domain but different ranges?

Tip: The domain of a function represents all the input values, while the range represents the output values corresponding to those inputs.

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Math Problem Analysis

Mathematical Concepts

Domain of a function
Set of ordered pairs
Function inputs (x-values)

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8

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