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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

Chapter Review

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Exercise 1 Page 322

Make a table to find ordered pairs. Then, plot and connect the points with a smooth curve.

Graph:

Domain: All real numbers
Range: y<0

Practice makes perfect

To graph the given exponential function, we will first make a table of values.

x	- 4(1/4)^x	f(x)=- 4(1/4)^x
- 1.5	- 4(1/4)^(- 1.5)	- 32
0	- 4(1/4)^0	- 4
1	- 4(1/4)^1	- 1
2	- 4(1/4)^2	- 0.25

Let's now plot and connect the points ( - 1.5, - 32), ( 0, - 4), ( 1, - 1), and ( 2, - 0.25) with a smooth curve.

We can see in the graph that the range is all real numbers less than zero. The domain of exponential functions is all real numbers. Domain:& All real numbers Range:& y<0

Subchapter links

1 Exponential Functions p.322

2 Exponential Growth and Decay p.322

3 Comparing Linear and Exponential Functions p.323

4 Solving Exponential Equations p.323

5 Geometric Sequences p.324

6 Recursively Defined Sequences p.324