Question

For the basic function f(2) = x, what conclusions can you make about f(x) and 0.5f(2)? Select all that apply.

a) f(x) = 0.5x
b) 0.5f(2) = 0.5x
c) f(x) and 0.5f(2) are equal.
d) f(x) is twice the value of 0.5f(2).

Answer 1

The conclusions we can make about the function f(x) given f(2)=x are that 0.5f(2)=0.5x and f(x) is twice the value of 0.5f(2). We cannot conclude anything about the general form of f(x) as f(x)=0.5x without additional information.

Step-by-step explanation:

Given the basic function f(2) = x, it is stated that when x equals 2, the function returns x. However, without additional information about the behavior of f(x) for other values of x, we cannot finalize a specific form for f(x). Nevertheless, we can analyze the given options:

Therefore, the correct conclusions that can be made are b) 0.5f(2) = 0.5x and d) f(x) is twice the value of 0.5f(2).