Question

For the x-values given in the table, determine the corresponding values of g(x) and plot each point on the graph.

Answer 1

Explanation:

Given the function, substitute the x-values and solve for the outcome.

`\begin{gathered} g(x)=-3((1)/(2))^x \\ \\ g(-2)=-3((1)/(2))^(-2) \\ g(-2)=-3*4=-12 \\ \\ g(-1)=-3((1)/(2))^(-1) \\ g(-1)=-6 \end{gathered}`
`\begin{gathered} g(-1)=-3((1)/(2))^0 \\ g(-1)=-3 \\ \\ g(1)=-3((1)/(2))^1 \\ g(1)=-(3)/(2) \end{gathered}`

Complete the value table and graph the exponential function;