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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 274

Substitute - 2, 0, and 12 for x.

0.375, 1.5, ≈ 2.12

Practice makes perfect

We are given a function and asked to evaluate it for some given values. x=- 2, 0, 1/2This means that we should substitute - 2, 0, and 12 for x in the given function and then evaluate. Let's start with - 2.

y=1.5(2)^x

x= - 2

y=1.5(2)^(- 2)

NegExponentToFrac

a^(- m)=1/a^m

y=1.5(1/2^2)

Calculate power

y=1.5(1/4)

a = 4* a/4

y=6/4* 1/4

Multiply fractions

y = 6/16

a/b=.a /2./.b /2.

y = 3/8

Calculate quotient

y=0.375

Now, let's do the same thing for the rest of the values.

x	Evaluation	Result
- 2	1.5(2)^(- 2)	0.375
0	1.5(2)^0	1.5
1/2	1.5(2)^(12)	≈ 2.12

Subchapter links

Communicate Your Answer p.273

Monitoring Progress p.274-277

Exercises p.278-280