Warm Up HW Check Jeopardy Exponents GraphsExponential Growth/Decay Compound Interest Random Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300.

Slides:



Advertisements
Similar presentations
Section 6.7 – Financial Models
Advertisements

Exponential Functions Functions that have the exponent as the variable.
6.1 Exponential Growth and Decay Date: ______________.
Exponential Functions
HOMEWORK CHECK Take out your homework and stamp page. While I am stamping homework, compare answers with your team.
If a quantity increases by the same proportion r in each unit of time, then the quantity displays exponential growth and can be modeled by the equation.
Warm Up If you invested $10,000 in a savings account that pays 5.5% interest compounded quarterly how much money would you have after 6 years?
Partner practice Chapter 8 Review WHITEBOA RD. Chapter 8 Review DRAW -The basic shape of the graph of a linear equation -The basic shape of the graph.
Exponential and Logarithmic Functions
Chapter 8 Exponential and Logarithmic Functions
Rational Exponents and More Word Problems
Lesson 8.5 and 8.6 Objectives:
7-6 & 7-7 Exponential Functions
Exponential Growth & Decay Objective: Be able to graph and find equations of exponential equations. TS: Explicitly assess information and draw conclusions.
© 2008 Pearson Addison-Wesley. All rights reserved Chapter 1 Section 8-6 Exponential and Logarithmic Functions, Applications, and Models.
Exponential Functions 4.2 Explorations of growth and decay.
Exponential Functions An exponential function is a function of the form the real constant a is called the base, and the independent variable x may assume.
Section 1.2 Exponential Functions
Exponential Functions. Exponential Function f(x) = a x for any positive number a other than one.
Homework Lesson Handout #5-27 (ODD) Exam ( ): 12/4.
1. Given the function f(x) = 3e x :  a. Fill in the following table of values:  b. Sketch the graph of the function.  c. Describe its domain, range,
7.7 EXPONENTIAL GROWTH AND DECAY: Exponential Decay: An equation that decreases. Exponential Growth: An equation that increases. Growth Factor: 1 plus.
Exponentials and Logarithms
Exponential Growth Exponential Decay
Exponential Growth/Decay Review
From week#2 discussion on exponential functions. Populations tend to growth exponentially not linearly When an object cools (e.g., a pot of soup on the.
Section 6.4 Solving Logarithmic and Exponential Equations
Exponential Functions 1/30/2013. Warm-Up 3: A population of 25 bacteria doubles in size every week. a)Write an exponential function to model.
Exponential Growth & Decay Objective: Be able to graph and find equations of exponential equations. TS: Explicitly assess information and draw conclusions.
: Unit 3 Lesson 1 Jeopardy: Remediation Activity 2.
Quiz 7-1: 1. Where does the graph cross the y-axis? 2. f(1) = ? 3. Horizontal asymptote = ? 4. How was the function transformed to get f(x) above? to get.
Exponential Functions
8.5 Exponential Growth and 8.6 Exponential Decay FUNctions
Section 4.2 Logarithms and Exponential Models. The half-life of a substance is the amount of time it takes for a decreasing exponential function to decay.
Writing Exponential Growth Functions
6.1 Exponential Growth and Decay Learning Objective: To determine the multiplier for exponential growth and decay, and to write and evaluate expressions.
Opener-NEW SHEET-11/29 Evaluate (1.08) (0.95)25
Exponential Functions Section 5.1. Evaluate the exponential functions Find F(-1) Find H(-2) Find Find F(0) – H(1)
Directions Put your name at the top of a blank sheet of paper. There are 11 word problems around the room. You may start at any problem and do not have.
Test Your Mettle Exponential Growth/Decay. 1. The table shows the amount of money in an investment account from 1988 to a. Make a scatterplot of.
Aim: Continuous Compounding Course: Math Literacy Aim: How does the exponential model fit into our lives? Do Now: An insurance agent wishes to sell you.
Introduction Logarithms can be used to solve exponential equations that have a variable as an exponent. In compound interest problems that use the formula,
12/7/2015 Math SL1 - Santowski 1 Lesson 16 – Modeling with Exponential Functions Math SL - Santowski.
Final Jeopardy Question Exponents EVIL Exponents
Objectives:  Understand the exponential growth/decay function family.  Graph exponential growth/decay functions.  Use exponential functions to model.
Warm Up: Find the final amount : Invest $4000 at 6% compounded quarterly for 20 years. Invest $5600 at 3.7% compounded continuously for 12 years.
Exponential Decay Functions 4.2 (M3) p Warm-Up Evaluate the expression without using a calculator. ANSWER –1 ANSWER –3 2.– ANSWER.
Rules of exponents Rule 1 a0= 1 Rule 2
Warm Up 1)A population of 4000 triples in size every year. Find the population in 4 years. 2)A bacteria culture of 20 increases by a growth factor of 2.
7.1 E XPONENTIAL F UNCTIONS, G ROWTH, AND D ECAY Warm Up Evaluate (1.08) (1 – 0.02) ( ) –10 ≈ ≈ ≈ Write.
Integers as Exponents Simplify:.
2/5/2013. Warm-Up 3 ( ) 1. Create a geometric sequence with 4 terms. 2. Write an explicit rule for the table: 3. How many bacteria would there.
Pg. 255/268 Homework Pg. 277#32 – 40 all Pg. 310#1, 2, 7, 41 – 48 #6 left 2, up 4#14Graph #24 x = #28x = 6 #35 Graph#51r = 6.35, h = 9, V = 380 #1 Graph#3a)
JEOPARDY! Sequences & Series $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400.
DO NOW HW: Exponential Functions Worksheet
Warm Up  Complete the Grok Activity on the back of your homework (the one with people at the top)
Modeling Constant Rate of Growth (Rate of Decay) What is the difference between and An exponential function in x is a function that can be written in the.
Lesson 8.1.  Exponential Function: a function that involves the expression b x where the base b is a positive number other than 1.  Asymptote: a line.
What do you remember about the following:  1) What is factoring? Give an example.  2) What exponent rules do you remember? Give examples (there are 5).
Exponential Functions 1/31/2013. Warm-Up 4: 1/31/2013.
MDFP Mathematics and Statistics 1. Exponential functions are of the form Exponential Growth and Decay Many real world phenomena (plural of phenomenon)
Drill If a quantity increases by the same proportion r in each unit of time, then the quantity displays exponential growth and can be modeled by the.
DAY 5 – EXPONENTIAL GROWTH AND DECAY. ZOMBIES! A rabid pack of zombies is growing exponentially! After an hour, the original zombie infected 5 people.
Quiz 7-1,2: 1. Where does the graph cross the y-axis? 2. f(1) = ? 3. Horizontal asymptote = ? 4. How was the function : transformed to get f(x) above?
Section 8-2 Properties of Exponential Functions. Asymptote Is a line that a graph approaches as x or y increases in absolute value.
Do Now #5 You decide to start a savings. You start with 100 dollars and every month you add 50% of what was previously there. How much will you have in.
Algebra 2/TrigonometryName: __________________________ Unit 7 – Section 8.1, 8.2Date: ___________________________ Exponential Functions and Their Graphs.
Algebra I Chapter 8 Review
Jeopardy Choose a category. Click to begin..
Presentation transcript:

Warm Up

HW Check

Jeopardy Exponents GraphsExponential Growth/Decay Compound Interest Random Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$100 Question (-3x 3 y) 2

$200 Question 2x 5 8x 8

$300 Question 4a (3b) 2

$400 Question (x 0 y -2 z 3 ) 4

$500 Question 3x w -4

$100 Question Graph the function y = 2(2) x in your calculator. What are the x and y intercepts ?

$200 Question Two functions are graphed on the same coordinate plane. The parent function f(x) = 4(2) x and the translated function g(x) = 4(2) x Describe how the graph of the new function compares to the parent function.

$300 Question Identify the horizontal asymptotes. a) b)

$400 Question Describe the translation Parent functionTranslated Function y = 5 x y = 5 x+6 - 2

$500 Question Write an equation for the function. Use a base of 3.

$100 Question Identify the percent rate of change for each function. a)y = 100(1.15) x b)y = 25(.80) x

$200 Question A population of one-hundred bacteria triple every 4 months. Find the population after 1 year.

$300 Question The value of a $400 cell phone depreciates at a rate of 8% per year. How much is the phone worth after 3 years?

$400 Question A population of 100 trout doubles every 2 months. Fill in the table and graph the first 3 intervals of growth. # of 2 month cycle 0123 # of trout How many trout are there after 6 months?

$500 Question The value of a $200,000 home increases by 2% per year. How much is the home worth after 5 years?

$100 Question You deposit $600 in an account that pays 4.5% interest compounded yearly. How much money will be in your account after 4 years?

$200 Question Tommy can describe the interest that he gets from his bank account by the formula below. a)What was his initial deposit? b)What is his annual interest rate? y = 1250( ) x

$300 Question How much money, to the nearest dollar, will be in an account after 4 years that started with $550 and has an interest rate of 9% compounded quarterly.

$400 Question Explain what each of the following numbers stands for in this equation. y = 1500(1 +.08/2) 2(5)

$500 Question (not compound interest) You are playing a game where for the first correct answer you win $1 and for each subsequent question you win double the amount of the previous question. a)Write a NOW-NEXT equation to model this b)Write an explicit equation to model this c)Which of the following graphs could be used to model this situation?

$100 Question Evaluate if a = -1 and b = 2 a 3 b 0

$200 Question a) Do the following tables represent exponential growth or decay? b) What is the common ratio for each? x123 y x123 y #1 #2

$300 Question The growth rate of a population is described by y = 900(1.01) x a) Describe what the point (0,900) means on this graph. b) What rate is the population growing by?

$400 Question An organism divides into 2 every 2 hours. a) If there are 10 of these organisms how many will there be after 20 hours? b) How many will there be after 1 day?

$500 Question A radioactive substance has a half-life of 150 years. If there are 250 grams of this substance today… a)Write an explicit equation b) Determine how much of this substance will remain in 600 years