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 (Select)(Select)all real numbersall real numbers greater than zeroall real numbers less than zeroall real numbers except zero.

The rational parent function, typically represented as \( f(x) = \frac{1}{x} \), has a domain that includes all real numbers except where the function is undefined. This function is undefined at \( x = 0 \) because division by zero is not possible.

So, the correct completion for the sentence is:

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

Would you like to go into more details on this, or do you have any other questions?

Here are five related questions:

1. What is the range of the rational parent function \( f(x) = \frac{1}{x} \)?
2. How does the graph of \( f(x) = \frac{1}{x} \) behave as \( x \) approaches zero from the positive side?
3. What is the effect on the graph of the rational function if the function is \( f(x) = \frac{1}{x-2} \)?
4. How would the domain change if the function were \( f(x) = \frac{1}{x^2} \)?
5. What happens to the graph of \( f(x) = \frac{1}{x} \) as \( x \) approaches infinity?

**Tip:** When identifying the domain of a function, look for values that cause division by zero or 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 (Select)(Select) all real numbers, all real numbers greater than zero, all real numbers less than zero, all real numbers except zero.

Explore the domain of the rational parent function f(x) = 1/x, understanding why it includes all real numbers except zero. This topic is essential for high school students studying Algebra and covers key concepts like rational functions and undefined points.

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