which produces a counter example to her statement?

Question

Nancy made the following statement: the range of f(x)=ax+b is the set of all real numbers given that a and b are real numbers. 

which produces a counterexample to her statement?

 

A) b<0

B) b=0

C) a<0

D) a=0

Answer 1

The counter examlple is (D.) a=0. If you substitute a=0 into the equation, you get f(x)=b. So, now the Range is just y=b or {b}.