1. Get ready before the bell rings!  Take out your homework to prepare for the homework quiz.  Check the file folder for your class to pick up graded work.

2. 5.17 GRAPHS OF EXPONENTIAL FUNCTIONS Chapter 5: Exponents & Functions Helpful Links https://www.youtube.com/watch?v=Al4Ca53t5UM http://education-portal.com/academy/lesson/exponential-growth-vs-decay.html https://www.youtube.com/watch?v=xp1TeBfkLPg

3. Exponential Functions  There are two types of exponential behavior, exponential growth and exponential decay.

4. For Discussion y=a(b x )  What values of b lead to exponential growth? To exponential decay? Test some positive values of b and make a conjecture.  Values of b greater than 1 lead to exponential growth. Values of b greater than 0 but less than 1 lead to exponential decay.

5. Graphs of Exponential Functions  You know that exponents can be positive, negative, or zero. In fact, exponential functions can take any real number as input. In some cases, depending on the situation that an exponential function represents, it may not make sense to allow negative numbers as input.  The graph shows the exponential function f(x) = 3 x  What is the domain? Range? Domain is all real numbers. Range: y > 0

6. Example  Alicia and Berta both save $2500.  Alicia’s Plan: Alicia saves her money in a jar. She will add $200 every year.  Berta’s Plan: Berta saves her money in the bank, earning 6% interest each year compounded annually.  Who will have more money after 5 years? After 15 years?  Alicia will have more money after 5 years. Berta will have more after 15 years.

7. Experiment  Randomly toss the algebra tiles onto the table from the cup.  Count the number of “Red” survivors. Remove all others.  Return only the survivors into the cup and repeat 6 times. Make a table to record your results. Toss NumberNumber of Survivors 040 1 2 3 4 5 6