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12.1.1.1 · Exponential and Logarithmic FunctionsThe Exponential Function
12.1.1.1 · Exponential and Logarithmic Functions
The Exponential Function
Turn growth that multiplies by the same number each step into a function, change the base, and watch the graph change.
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The question
Which function describes growth that multiplies by the same number at every step, and what does its graph look like?
Think about it
Defne's lab notebook: the bacteria split in two every hour.
Every hour the number doubles: 1, 2, 4, 8, 16.
The notebook only records the whole hours; nothing is written for the times in between.
How many bacteria are there at hour 10? And at hour 2.5?