Usually, an important point to verify the graph is the point:
[tex](0,f(0))[/tex]
It's when the function touches the y-graph, then, let's evaluate the function at x = 0
[tex]\begin{gathered} y=\left(\frac{2}{5}\right)^{x+1}\text{ , \lparen x =0\rparen} \\ \\ y=\left(\frac{2}{5}\right)^{0+1} \\ \\ y=\left(\frac{2}{5}\right)^1 \\ \\ y=\frac{2}{5}=0.4 \end{gathered}[/tex]
Therefore the point should be
[tex](0,0.4)[/tex]
Therefore any graph that does not include that point is not correct!
We can also eliminate all graph that shows a crescent curve, but, in fact, only the point we calculated can eliminate all graphs and gives us the correct answer:
