1. SECTION 7-6 : EXPONENTIAL FUNCTIONS
ALGEBRA I @
SECTION 7-6 : EXPONENTIAL FUNCTIONS

2. 1) Hey, try this with your parents
1) Hey, try this with your parents. In exchange for cleaning your room daily, they will give you 1¢ today, 2¢ tomorrow, 4¢ the next, and so on. How much money will your parents have to give you on day 30 if today is day zero?
ANSWER : $10,737,418.24

3. EXPONENTIAL FUNCTION : is of the form
The previous problem is an example of an exponential function.
EXPONENTIAL FUNCTION : is of the form
y = abx where a ≠ 0 and b > 0 and b ≠ 1.
Examples :

4. Does the table or rule represent a linear or an exponential function
Does the table or rule represent a linear or an exponential function? Explain. 2) x 1 2 3 y 6 18 54
4) y = -2x + 5
ANSWER : linear, slope-intercept form
ANSWER : exponential, x3 3)
5) y = -2 • 5x x 1 3 5 7 y 2 8 11
ANSWER : exponential, in exponential form
ANSWER : linear, +2 for x’s, +3 for y’s

5. 6) Suppose a culture of bacteria doubles every hour
6) Suppose a culture of bacteria doubles every hour. There are initially 2200 bacteria and the function f(x) = 2200 • 2x models the problem. How many bacteria would you expect in the culture after 5 hours?
ANSWER : 70,400

6. 7) f(x) = 3 • 2x for x = 3 8) g(x) = -5 • (0.3)x for x = 2
Evaluate each function for the given value.
7) f(x) = 3 • 2x for x = 3
ANSWER : 24
8) g(x) = -5 • (0.3)x for x = 2
ANSWER :

7. 9) Graph y = 2x

8. 10) Graph.

9. Graphs of exponential functions :
y = 3 • 2x y = -3 • 2x
y = (1/2)x y = (-1/2)x

10. ALGEBRA I - SECTION 7-6 (Exponential Functions)
11/10/2018
ALGEBRA I - SECTION 7-6 (Exponential Functions)