Question

Why Is This Statement False: If F(2)=2 And F(4)=4 Then F(3)=3 Give An Example Function

Answer 1

The statement is false because there could be multiple functions that satisfy the given conditions. One example is the function f(x) = x.

Step-by-step explanation:

In this case, the statement is false because the function does not have to be linear or follow a specific pattern. There could be multiple functions that satisfy the given conditions. One example is the function f(x) = x, where f(2) = 2 and f(4) = 4. However, f(3) would be equal to 3, which does not match the given statement.

A function in mathematics is a relationship between a domain, or collection of inputs, and a codomain, or set of potential outputs. There is only one output associated with each input. As an illustration,

f(x) = x2 is a function whose input is squared.