Question

write the domain of the function in interval notation. f(x) = x - 8 a. (8, ∞) b. (-∞, -8) c. (-∞, ∞) d. (-8, 8)

Explanation:

Step1: Identify function type

The function \( f(x) = x - 8 \) is a linear function (degree 1 polynomial).

Step2: Determine domain of linear function

For linear functions \( f(x)=mx + b \) (where \( m \) and \( b \) are real numbers), there are no restrictions on the input \( x \). \( x \) can be any real number.

Step3: Write domain in interval notation

The set of all real numbers in interval notation is \( (-\infty, \infty) \).

Answer:

C. \((-\infty, \infty)\)