Graphing exponential growth

When graphing exponential growth, it is always a good idea to make a table of values and you could look for at least 5 points that you can use to make the graph.

It is also a good idea to choose both negative and positive values for x, especially numbers that are opposites. For example, notice how we chose x = -2 and x = 2.

Graph y = 3 × 2x

x
3×2x
(x, y)
-2
3×2-2 = 3 / 22 = 3/4
(-2, 3/4)
-1
3×2-1 = 3 / 21 = 3/2
(-1, 3/2)
0
3×20 = 3 × 1 = 3
(0, 3)
1
3×21 = 3 × 2 = 6
(1, 6)
2
3×22 = 3 × 4 = 12
(2, 12)


In the graph below, each square represents 1 unit. Notice that for an exponential growth, as x increases, y increases exponentially or increases rapidly.

Graph of an exponential growth






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