Question

What is the domain and range for the function s=45+5h?

A. Domain: All real numbers; Range: All real numbers
B. Domain: All real numbers; Range: s ≥ 45
C. Domain: All real numbers; Range: s > 45
D. Domain: All real numbers; Range: s ≥ 0

Answer 1

The correct answer is B, which states that the domain of the function s=45+5h is all real numbers and the range is all real numbers greater than or equal to 45.

Step-by-step explanation:

The function given is s=45+5h, where 's' represents the value of the function and 'h' represents the input, which can be any real number. Considering this function, the domain is the set of all possible inputs for 'h'. Since there are no restrictions on the value of 'h' in the equation, the domain is all real numbers. The range is the set of all possible outputs for 's'. Since the smallest value of 's' occurs when 'h' is 0, the minimum value of 's' is 45 (which happens when 'h' is 0). As 'h' increases, 's' increases without bound, so the range is all real numbers that are greater than or equal to 45. Therefore, the correct answer is B. Domain: All real numbers; Range: s .