Question

What is a reasonable domain and range for the function G(h)=8h?

Options:
A) Domain: All real numbers; Range: All real numbers
B) Domain: All positive integers; Range: All positive integers
C) Domain: All non-negative integers; Range: All non-negative integers
D) Domain: All non-negative real numbers; Range: All non-negative real numbers

Answer 1

The function G(h)=8h has no restrictions on the variable h, so the reasonable domain and range are all real numbers, which is option A. The correct option is A.

Step-by-step explanation:

The question asks for a reasonable domain and range for the function G(h)=8h. Since the function involves multiplication by a constant and there are no restrictions stated on the variable h, the most natural domain and range for this function would include all real numbers.

Multiplication by a positive number does not impose any restrictions on the input or output values, allowing them to be any real number. Therefore, the correct answer is A) Domain: All real numbers; Range: All real numbers. The correct option is A.