Math Problem Statement

Find the domain of the function defined by the set of points below. Express your answer as a set of numbers: (7, 2), (-6, 0), (-3, 0), (-1, -1), (-10, 4).

Solution

To find the domain of the function defined by a set of points, we need to focus on the x-values of the ordered pairs. The domain consists of all the x-coordinates.

The given points are:

  • (7, 2)
  • (-6, 0)
  • (-3, 0)
  • (-1, -1)
  • (-10, 4)

Thus, the x-values (which represent the domain) are: {7,6,3,1,10}\{7, -6, -3, -1, -10\}

Therefore, the domain of the function is: {10,6,3,1,7}\{-10, -6, -3, -1, 7\}

Would you like a deeper explanation of this concept or further details?

Here are some related questions for further practice:

  1. What is the range of this function?
  2. Can a function have repeated x-values in its domain?
  3. How do you find the domain of a function given its equation?
  4. What happens if the domain of a function includes irrational numbers?
  5. Can you identify the domain of a function when it includes fractions?

Tip: The domain of a function refers to all possible x-values, whereas the range refers to the corresponding y-values.