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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

1. Exponential Functions

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Exercise 4 Page 273

Graph the example exponential function given in Exploration 1. What can you observe?

See solution.

Practice makes perfect

Let's start by graphing the exponential function given in Exploration 1. This is f(x) = 16 (2)^x.

From this graph we can identify some general characteristics of exponential functions.

As x takes bigger negative values, the function approaches 0.
The domain of the function is all real numbers.
The range of the function is all real numbers greater than zero.
When x=0, the value of the function equals the coefficient multiplying the power, which in this case is f(0) = 16.

Subchapter links

Communicate Your Answer p.273

Monitoring Progress p.274-277

Exercises p.278-280