Final answer:
All the given options (A, B, C, D) are within the domain of the function defined for all real numbers from 0 to 20, as the function includes every real number in this interval, and it represents a horizontal line across this domain. The correct options for values within the domain of the function are B) x ≤5x≤5 C) x=2x=2 D) x=1x=1
Step-by-step explanation:
The question involves determining which values are within the domain of a given function. The function in question is defined for real numbers x such that 0 ≤ x ≤ 20, which means the domain of the function includes all real numbers from 0 to 20, inclusive.
Since the function is also described as a horizontal line, this suggests that for any x within the domain, the function will have a constant y-value. Now, looking at the answer choices:
- A) x > 0: This is within the domain since any positive number up to 20 is included.
- B) x ≤ 5: This value is within the domain as well because it includes numbers from 0 to 5.
- C) x = 2: Since 2 is between 0 and 20, it is within the domain.
- D) x = 1: 1 is also between 0 and 20, so it's in the domain.
Considering the function described, all four options (A, B, C, D) are within the function's domain. When dealing with continuous probability distributions, the property that P(x = a) = 0 for any single point a does not affect the standing of specific values in the domain; it simply affects the probability attributed to individual points within that domain.