Question

considerconsider the function g for the x values given in the table below determine the corresponding values of g (x and plot each point on the graph

Answer 1

Calculate the values of g(x) for a given function and plot the corresponding points on a graph.

Let's calculate the values of g(x) for x = -1, 0, 1, 2 using the given function:

`g(x) = 6 *(3/2)^x`

`For x = -1: g(-1) = 6 * (3/2)^-1 = 4`

`For x = 0: g(0) = 6 * (3/2)^0 = 6`

`For x = 1: g(1) = 6 * (3/2)^1 = 9`

`For x = 2: g(2) = 6 * (3/2)^2 = 13.5`

The points are (-1, 4), (0, 6), (1, 9), and (2, 13.5).

Connect these points with a smooth curve to represent the function

`g(x) = 6 * (3/2)^x.`

Answer 2

The given function is expressed as

g(x) = 6(3/2)^x

We would substitute the values of x on the table into the function to determine the corresponding values of g(x).

For x = - 1, g(- 1) = 6(3/2)^-1 = 4

For x = 0, g(- 1) = 6(3/2)^0 = 6 * 1 = 6

For x = 1, g(1) = 6(3/2)^1 = 9

For x = 2, g(2) = 6(3/2)^2 = 13.5

We would plot the values of g(x) on the y axis of the graph and the values of x on the x axis. The graph is shown in the attached photo

The scale of the graph is 1 cm to 5 units on the vertical and horizontal axis.