8.6 Exponential and Logarithmic Functions, Graphs, and Models

Consider the exponential function f(x)=3(2)^x.
Fill in the table to compute f(x) for various values of x. Then graph the function.
x f(x)
0
1
2
3
-1
-2

1 answer

x f(x)
0 3(2)^0 = 3(1) = 3
1 3(2)^1 = 3(2) = 6
2 3(2)^2 = 3(4) = 12
3 3(2)^3 = 3(8) = 24
-1 3(2)^(-1) = 3(1/2) = 1.5
-2 3(2)^(-2) = 3(1/4) = 0.75

To graph the function, plot the points (0, 3), (1, 6), (2, 12), (3, 24), (-1, 1.5), and (-2, 0.75) on a graph and connect them with a smooth curve.