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Big Ideas Math Integrated I, 2016

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Big Ideas Math Integrated I, 2016 View details

1. Exponential Functions

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Exercise 38 Page 279

Choose a point on the graph of the function g(x)=0.25^x+k, then substitute it in.

k=3

Practice makes perfect

Looking at the graphs of the given exponential functions, we see that the graph of f(x)=0.25^x is translated k units up.

Notice that the point (0,4) is on the graph of g(x)=0.25^x+k. Let's substitute it and solve for k.

g(x)=0.25^x+k

x= 0, y= 4

4=0.25^0+k

▼

Solve for k

a^0=1

4=1+k

LHS-1=RHS-1

3=k

Rearrange equation

k=3

The value of k is 3.

Subchapter links

Communicate Your Answer p.273

Monitoring Progress p.274-277

Exercises p.278-280