1. Lesson 1

1.11. Explore 7

Mathematics 30-1 Module 6

Module 6: Exponents and Logarithms

 

In Try This 5 you learned how to determine the equation of a function that models a given situation. You may have written the function as , where

  • c = 1.6
    This value describes the rate of growth. The increase is 60%, so 1 + 0.60 = 1.6.
  •  
    This value describes a horizontal stretch by a factor of 4. The increase occurs every 4 d.
  • a = 300
    This value describes a vertical stretch by a factor of 300. The initial number of bacteria is 300.

textbook

For another example of using an exponential function to model a situation, read “Example 2” on pages 352 and 353 of the textbook. Notice while reading that this function has a horizontal asymptote. The horizontal asymptote helps determine the vertical translation of the function.

 

Self-Check 4
  1. Complete “Your Turn” at the end of “Example 2” on page 353 of the textbook. Answer
  2. Complete question 9 on page 356 of the textbook. Answer

glossary

Add the following terms to your copy of Glossary Terms:

  • exponential function
  • exponential growth
  • exponential decay

formula

Add the following formula to your copy of Formula Sheet:

  • y = a(c)b(x−h) + k