From the given table, we can note that function f(x) increases as x increases and becomes positive.
On the other hand, g(x) decreases as x decreases and become negative. Then options 1, 2 and 4 are false.
On the other hand, the y-intercept is equal to -12 because f(0)= -12 and g(0)=-12, then option 5 is true.
Finally, lets find the x-intercept.
In the first case, from the table, the x-intercept is f(2)=0, that is x=2.
In the second case, we need to compute
[tex]0=-12(\frac{1}{3})^x[/tex]which implies that x must be + infinity because
[tex]-12(\frac{1}{3})^{-\infty}=-12(\frac{1}{3^{\infty}})\longrightarrow0[/tex]then option 3 is false.
