Question

Which graph was created using a table of values calculated from the equation y=(2/5)^x+1

Answer 1

Usually, an important point to verify the graph is the point:

`(0,f(0))`

It's when the function touches the y-graph, then, let's evaluate the function at x = 0

`\begin{gathered} y=\left((2)/(5)\right)^(x+1)\text{ , \lparen x =0\rparen} \\ \\ y=\left((2)/(5)\right)^(0+1) \\ \\ y=\left((2)/(5)\right)^1 \\ \\ y=(2)/(5)=0.4 \end{gathered}`

Therefore the point should be

`(0,0.4)`

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: