Period+1

Honors Functions

[|Logic Puzzle Practice and other activities]

What is a Tangram? [|Click here to find out]. Have with Tangrams by clicking ---> [|1], [|2], or [|3]

[|Spring Trivia]


 * 3.1 Exponential and Logistic Functions**

You may use the provided websites or find websites of your own.

Some helpful websites: [|Click here],[|here]
 * Please record all answers in your notebook!!**
 * Question 1:** What is an exponential function? How can you identify an exponential functions?


 * Question 2**: Give a few examples of exponential functions.

Domain, Range, x-intercepts, y-intercepts, Continuous or Discontinuous, Symmetry, Boundedness, Extrema, Asymptotes, Is it one-to-one? Concavity.
 * Question 3:** Draw the graph of a basic exponential function (ex. y=2^x). List the following characteristics of the graph:


 * Question 4:** What is an exponential growth function? Exponential decay function? **[|growth and decay 1],** [|**growth and decay 2**]


 * Question 5**: Describe the transformations of exponential functions (reflections, vertical stretch/shrink, vertical/horizontal shifts). [|transformation 1],[|Powerpoint]


 * Question 6**: Graph the exponential function with the Natural Base e (y=e^x). Find all the characteristics (mentioned in Question 3).


 * Question 7**: What is the definition of the Natural Base e? [|Natural 1]


 * Question 8**: Describe transformations of the Natural Base Exponential Function.


 * Question 9**: What is a Logistic Growth Function? [|Logistic 1],[|Logistic 2]


 * Question 10**: Graph the Basic Logistic Function. Find all the characteristics of this function.


 * Complete the following questions** on Pgs. 286-287 #s 1-10, 15-28, 32, 34, 41-44, 46, 50, 52, 57, 58, 61-63


 * 3.5 Practice**


 * You will work on the problems that are on the web sites below. You will need paper, your calculator and a pencil/pen. You will be graded by observation - I will explain before you start the assignment. You can work with a partner of your choice.**


 * [|Practice 1]**
 * [|Practice 2] - Scroll down the page until you see the title "Exponential Equations" and " Logarithmic Equations"**
 * [|Practice 3]**


 * 3.6 Mathematics of Finance**
 * Click on the websites below to find out about Compound Interest**
 * [|Compound Interest 1]**
 * [|Compound Interst 2]**