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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 37 Page 279

Choose a point on the graph of the function g(x)=a(2)^x, then substitute it in.

a=1/2

Practice makes perfect

Looking at the graphs of the given exponential functions, we see that the graph of f(x)=2^x has been vertically shrunk.

This means that the absolute value of a should be less than 1 due to the vertical shrink. g(x)= a(2)^x We see that the point (2,2) is on the graph of g(x)=a(2)^x. Let's substitute it and solve for a.

g(x)=a(2)^x

x= 2, y= 2

2=a(2)^2

▼

Solve for a

Calculate power

2=a(4)

.LHS /4.=.RHS /4.

2/4=a

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

1/2=a

Rearrange equation

a=1/2

The value of a is 12.

Subchapter links

Communicate Your Answer p.273

Monitoring Progress p.274-277

Exercises p.278-280