Question

Select all of the statements that you know for sure are true about the function f.

1)We are given that f(−3)=0
A. f is a constant function
B. f could be a constant function
C. f is not a constant function
D. f is a linear function
E. f could be a linear function
F. f is not a linear function
2)We are given that f(x)=0 for all x
A. f is a constant function
B. f could be a constant function
C. f is not a constant function
D. f is a linear function
E. f could be a linear function
F. f is not a linear function

Answer 1

We know little about No. 1, as all we can draw from it is a point. At most, we can say the possibility of \(f(x)\) to be a linear or constant function, as we cannot decided with certainty.

No. 2, on the other implies that, since \(y=0\), for all points \(x\), we can say it is a constant function.