Write the domain for the linear parent function in interval notation. O (-0, 0) U (0, ∞) O (-0, 0) O (-∞0, 0) O (0, 0)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section2.4: A Library Of Parent Functions
Problem 47E: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate...
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**Question:**

Write the domain for the linear parent function in interval notation.

**Options:**

- \( (-\infty, 0) \cup (0, \infty) \)

- \( (-\infty, \infty) \)

- \( (-\infty, 0) \)

- \( (0, \infty) \)

**Explanation:**

The domain of the linear parent function, typically represented as \( f(x) = x \), is all real numbers. Therefore, the correct interval notation is \( (-\infty, \infty) \). This means that the function can take any real number as an input.
Transcribed Image Text:**Question:** Write the domain for the linear parent function in interval notation. **Options:** - \( (-\infty, 0) \cup (0, \infty) \) - \( (-\infty, \infty) \) - \( (-\infty, 0) \) - \( (0, \infty) \) **Explanation:** The domain of the linear parent function, typically represented as \( f(x) = x \), is all real numbers. Therefore, the correct interval notation is \( (-\infty, \infty) \). This means that the function can take any real number as an input.
Expert Solution
Step 1

Linear parent function is of the form y=x.

Domain of any function y=f(x) is the value of x for which the function exists.

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