Question

Graph the exponential model y = 2(0.5). Which point lies on the graph?

Answer 1

Point (0,

Step-by-step explanation:

Given:

`y=2(0.5)^x`

Let's go ahead and choose values of x and determine the corresponding y-values as seen below;

When x = -3;

`\begin{gathered} y=2(0.5)^(-3) \\ y=2*8 \\ y=16 \end{gathered}`

When x = -1;

`\begin{gathered} y=2(0.5)^(-1) \\ y=2*2 \\ y=4 \end{gathered}`

When x = 0;

`\begin{gathered} y=2(0.5)^0 \\ y=2*1 \\ y=0 \end{gathered}`

When x = 1;

`\begin{gathered} y=2(0.5)^1 \\ y=1 \end{gathered}`

When x = 3;

`\begin{gathered} y=2(0.5)^3 \\ y=0.25 \end{gathered}`

From the values, we can go ahead and graph the function as seen below;

From the above graph, we can see that the point (0, 2) lies on the graph