Question

Which following statements about the graphs of f(x) and g(x) is not true?A. F(x) and g(x) intersects at (0,0) and (1,1)B. F(x) has a vertex at the originC. G(x) change direction at the originD. F(x) and g(x) has range which is all real numbers

Answer 1

This problem is about functions.

We have a quadratic function and a cubic function shown in the image attached.

If you look closer, you would notice that these functions intercept at (0,0) and (1,1), those points are common for both functions.

Also, f(x) has vertex on the origin (0,0). However, f(x) has a restricted range, that is, it's range includes all real numbers which are more or equal than zero. This means D is not correct.

Therefore, the statement that is not true is D.