Question

Think about the function

f(x)=3−2x. What does the notation f(0) mean? Finding which number supports the idea that the rational numbers are dense in the real numbers?

A. an integer between –11 and –10
B. a whole number between 1 and 2
C. a terminating decimal between –3.14 and –3.15
D. None of the above

Answer 1

The notation f(0) means substituting the value of 0 for x in the function f(x). The statement that supports the idea that the rational numbers are dense in the real numbers is none of the above (D).

Step-by-step explanation:

The notation f(0) means that you substitute the value of 0 for x in the function f(x). So, f(0) = 3 - 2(0) = 3. Therefore, f(0) is equal to 3.

The statement that supports the idea that the rational numbers are dense in the real numbers is none of the above (D). The rational numbers are dense in the real numbers because between any two rational numbers, there is another rational number. However, the integers, whole numbers, and terminating decimals do not satisfy this condition, so they do not support the idea of the rational numbers being dense in the real numbers.