University:
Missouri State University
Course:
MTH 136 | Precalculus 1
Academic year:

2020
Views:

207

Pages:

3
Author:

Brenden Trevino

Graphing Exponential and Logarithmic Functions Name:_____________________________ Graph the following Exponential Functions. 1. y=2 x +3 −1 x+2 4. 1 y=  2 +3 x −2 2. 4 y = 3  3 5. 2 y = −3   3 +1 y= 6. 1 y=  3 x +1 −2 1 ( 2 ) x−1 − 4 2 3. x −1 −1 Graphing Log Functions 9. y = log 2 ( x + 1) + 2 10. y = log 2 ( x + 3) − 2 11. y = log3 ( x − 2 ) + 3 12. y = −1 + log3 ( x + 2 ) Equations: 13.) A substance decays 22% each day. After 7 days, there are 9 milligrams of the substance remaining. How many milligrams were there initially? 14.) Sam opened a bank account with an interest rate of 4.8% that is compounded annually. He invested $3,890 in the account in 1999 but had to make a withdrawal from his account in 2007 in the amount of $2,300 with no penalty. How much money is in his account now, in 2016? 15.) The number n of college graduates in thousands after t years can be modeled by n = 46log5 (t + 3). Let t = 0 represent 1985. (a) How many college graduates were there in 2003? (b) How long until there are 123,000 college graduates? When will this occur? 16.) In 1990, the population of New York State was 7.99 million. The population grows at a rate of 2.3%. When will New York's population reach 15 million people? 17.) You have $1000 that you want to invest for 5 years before you use the money towards a large purchase. Your bank offers a compound interest rate of 3% compounded monthly or an annual compound interest rate of 4.7%. Assuming that you will leave the money in for 5 years, what is the best way to invest with your bank?