C. The y-intercept is (0, 1) [tex]f(0)=\left(\dfrac{2}{5}\right)^0=1\to(0,\ 1)[/tex] D. The range of F(x) is y > 0 [tex]F(x)=\left(\dfrac{2}{5}\right)^x > 0\ for\ x\in\mathbb{R}[/tex] E. It is decreasing [tex]f(x)=a^x\\if\ a > 1\ then\ is\ increasing\\if\ a\in(0;\ 1)\ then\ is\ decreasing\\\\F(x)=\left(\dfrac{2}{5}\right)^x\to a=\dfrac{2}{5}\in(0;\ 1)[/tex]
A. Not, because the domain is all real numbers B. Not, because it is decreasing. F. Not, because the x-intercept is not exist.
