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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 55 Page 280

Analyze the form of the function and identify what effect is a causing. Then, try to think about how this can affect the original function's graph.

See solution.

Practice makes perfect

We are asked to describe the effect of a on a graph of the form y=a * 2^x. Notice that a is multiplying the whole function's value. Then, if |a|> 0 the function will be vertically stretched, but if 0< |a|< 1 it will be vertically shrunk.

On top of that, if a< 0 the values of the function change sign, causing a reflection in the y-axis. For example, with respect to y=2^x, the function y=- 3 (2)^x is vertically stretched since |a|> 1, and reflected in the y-axis because a< 0.

Subchapter links

Communicate Your Answer p.273

Monitoring Progress p.274-277

Exercises p.278-280