Question

"What are the domain and range of f(x) = ()

+ 2?
O domain: {x\x>-1); range:y
O domain: {xlx> *}; range:{y ly> 2}
O domain: x ; range: {yly > 2}
O domain: {x 1 x is a real number}; range: {yly > -2}"Domain: \( \{x \mid x > -1\} \); Range: \( \{y \mid y > 0\} \)
- Domain: \( \{x \mid x > 0\} \); Range: \( \{y \mid y > 2\} \)
- Domain: \( \{x \mid x \text{ is a real number}\} \); Range: \( \{y \mid y > 2\} \)
- Domain: \( \{x \mid x \text{ is a real number}\} \); Range: \( \{y \mid y > -2\} \)

Answer 1

The domain of the given function is all real numbers between 0 and 20, inclusive. The range would be the single value that this constant function outputs, which includes the unknown constant being added to 2.

Step-by-step explanation:

The student seems to be asking about the domain and range of a function, f(x), that is not entirely visible in the question. However, from the information provided about a graph being a horizontal line, we can imply that f(x) is likely a constant function. Typically, for a constant function, the form is f(x) = c, where c is a constant value, and the domain is all real numbers unless otherwise specified.

Given the additional information that f(x) is restricted to the portion between x = 0 and x = 20, inclusive, we can define the domain of this function as x . Since it's a horizontal line (implying a constant function), the range would be the single value that the function outputs. If the unknown function component () + 2 implies a value that is being added to 2, the range would reflect this constant value; for example, if the constant part were 10, the range would then be y = 12.

Without the exact function, it's impossible to provide a definitive answer, but one can conclude that the domain is the set of real numbers between 0 and 20, and the range is a single value that includes the constant value being added to 2. The correct choice would likely include the respective domain and range considering these restrictions.