The graph of the rational parent function is shown on the grid.

What is the domain of this function?

Choose the correct answer from each drop-down menu to complete the sentence.

The domain of the function is

The rational parent function is usually of the form \( f(x) = \frac{1}{x} \). This function is defined for all values of \( x \) except where the denominator is zero, which would make the function undefined.

So, the domain of the function excludes \( x = 0 \) because \( \frac{1}{0} \) is undefined.

Therefore, the correct sentence would be:

**"The domain of the function is all real numbers except 0."**

If you want further clarification or details, feel free to ask!

Here are 5 relative questions to explore:
1. What is the range of the rational parent function?
2. How does the graph of \( f(x) = \frac{1}{x} \) behave near the vertical asymptote?
3. What transformations affect the domain of rational functions?
4. Can you find the domain of \( f(x) = \frac{1}{x-2} \)?
5. How would the graph change if the function were \( f(x) = \frac{2}{x} \)?

**Tip**: When finding the domain of a function, look for values of \( x \) that make the denominator zero or lead to any other undefined operations.

The graph of the rational parent function is shown on the grid. What is the domain of this function? Choose the correct answer from each drop-down menu to complete the sentence. The domain of the function is

Discover how to find the domain of the rational parent function f(x) = 1/x. Learn that the function is undefined at x = 0, which impacts the domain. This problem explores rational functions, algebraic properties, and is ideal for students in Grades 9-11.

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