Question

9(x) = 6(3)*

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

Answer 1

The completed table can be presented as follows;

`\begin{tabular} c \cline{1-5}x&-1 & 0& 1 & 2 \\ \cline{1-5}g(x)&4 & 6 & 9 & 13.5 \\\cline{1-5}\end{tabular}`

Please find attached the graph of the function g(x) = 6·(3/2)ˣ, created with MS Excel, showing the coordinate points of the ordered pairs of the function

The steps used in obtaining the table of values is as follows;

The function g(x) = 6·(3/2)ˣ, can be used to obtain the values in the table as follows;

g(-1) = 6 × (3/2)^(-1)

6 × (3/2)^(-1) = 4

g(-1) = 4

g(0) = 6 × (3/2)^(0)

6 × (3/2)^(0) = 6

g(0) = 6

g(1) = 6 × (3/2)^(1)

6 × (3/2)^(1) = 9

g(1) = 9

g(2) = 6 × (3/2)^(2)

6 × (3/2)^(2) = 27/2

g(2) = 27/2

The completed table is therefore;

`\begin{tabular} c \cline{1-5}x&-1 & 0& 1 & 2 \\ \cline{1-5}g(x)&4 & 6 & 9 & 13.5 \\\cline{1-5}\end{tabular}`

The graph of the function, g(x) created with MS Excel is attached