Question

Which facts are true for the graph of the function below? Check all that apply.

Answer 1

$F(x)+\left(\dfrac{2}{5}\right)^x$

C. The y-intercept is (0, 1)
$f(0)=\left(\dfrac{2}{5}\right)^0=1\to(0,\ 1)$
D. The range of F(x) is y > 0
$F(x)=\left(\dfrac{2}{5}\right)^x > 0\ for\ x\in\mathbb{R}$
E. It is decreasing
$f(x)=a^x\\if\ a > 1\ then\ is\ increasing\\if\ a\in(0;\ 1)\ then\ is\ decreasing\\\\F(x)=\left(\dfrac{2}{5}\right)^x\to a=\dfrac{2}{5}\in(0;\ 1)$


A. Not, because the domain is all real numbers
B. Not, because it is decreasing.
F. Not, because the x-intercept is not exist.