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 (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 84E
icon
Related questions
Question
**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.

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning