Question

so my equation is y=1/3 times 2 to the power of x we have to make a table and graph it.

Answer 1

Solution

We are given

$y=\frac{1}{3}\times2^x$

We want to find make table and graph

(a). To make table, We take

$-3\leq x\leq3$$\begin{gathered} \text{when x = -3} \\ y=\frac{1}{3}(2^{-3})=\frac{1}{24}=0.042 \\ \text{when x = -2} \\ y=\frac{1}{3}(2^{-2})=\frac{1}{12}=0.083 \end{gathered}$

Similarly, we find the values for the remaining values of x

$\begin{gathered} \text{when x = }-1,\text{ y = 0.167} \\ \text{when x = 0, y =}\frac{1}{3} \\ \text{when x= 1, y = }\frac{2}{3} \\ \text{when x = 2, y =}\frac{4}{3} \\ \text{when x = 3, y=}\frac{8}{3} \end{gathered}$

To draw the graph, we have