Download presentation

Presentation is loading. Please wait.

Published byNorma Norris Modified over 3 years ago

1
Evaluate: Write without the radical:

2
Objective: To graph exponential functions and inequalities To solve problems involving exponential growth and decay

3
Exponential Functions have the form: A constant raised to a variable power. f(x) = b x where b >0 & b ≠ 1

4
Enter into calculator and graph: f(x) = 2 x [2nd] [table] to see list of data points Notice how quickly exponential functions grow.

5
If b u = b v then u = v When b > 0 and b≠ 1 The graph of f(x) = b x always passes through the points (0,1) and (1,b) The graph of f(x) = b x is the reflection about the y-axis of the graph of f(x)= The graph of f(x) = b x has the horizontal asymptote y = 0. There is no vertical asymptote.

6
The domain of f(x) = b x is the set of real numbers: the range is the set of positive numbers. f(x) = b x is increasing if b > 1 ; f(x) = b x is decreasing if 0< b< 1. f(x) = b x is a one-to-one function since it passes the horizontal line test.

7
f(x) = 4 x What happens to the graph f(x) =4 x +2? xy -2 1/16 ¼ 01 14 216 364

8
3 10 = 3 5x 10 = 5x x = 2 2 7 = (x-1) 7 if x > 1 2 = x-1 3 = x 3 3x = 9 x-1 3 3x = 3 2(x-1) 3x = 2x -2 x = -2

9
2 8 = 2 x+1 4 2x+1 = 4 11 8 x+1 = 2

10
Compound Interest Exponential Growth or decay (bacteria/ radiation half life)

11
Compound interest means the each payment is calculated by including the interest previously earned on the investment.

12
Year Investment at StartInterestInvestment at End 0 (Now)$1,000.00 ($1,000.00 × 10% = ) $100.00 $1,100.00 1 ($1,100.00 × 10% = ) $110.00 $1,210.00 2 ($1,210.00 × 10% = ) $121.00 $1,331.00 3 ($1,331.00 × 10% = ) $133.10 $1,464.10 4 ($1,464.10 × 10% = ) $146.41 $1,610.51 5

13
If you have a bank account whose principal = $1000, and your bank compounds the interest twice a year at an interest rate of 5%, how much money do you have in your account at the year's end?principal interestan interest rate

15
. Initial Amount Final Amount Growth Rate Time

16
In t hours the number of bacteria in a culture will grow to be approximately where N 0 is the original number of bacteria. At 1 PM the culture has 50 bacteria. How many bacteria does it have at 4 PM? at noon?

17
1. If you start a bank account with $10,000 and your bank compounds the interest quarterly at an interest rate of 8%, how much money do you have at the year’s end ? (assume that you do not add or withdraw any money from the account)interest rate

18
1.

19
The average growth rate of the population of a city is 7.5% per year and is represented by the formula y=A(1.075) x, where x is the number of years and y is the most recent population of the city. The city’s population A is now 22,750 people. What is the expected population in 10 years?

20
How much money should Kelli invest now in a money market account if she wishes to have $9,000 in the account at the end of 10 years? The account provides an APR of 6% compounded quarterly.

Similar presentations

Presentation is loading. Please wait....

OK

Exponential and Logarithm

Exponential and Logarithm

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on hydroelectric power generation Ppt on indian space programme Ppt on product advertising online Ppt on communication and networking concepts Ppt on our indian culture Ppt on australian continent new name Ppt on human resources for class 9 Ppt on natural numbers list Ppt on air powered cars Ppt on op amp circuits resistor