Good Morning, Precalculus! When you come in, please.... 1. Grab your DO NOW sheet 2. Take out something to write with, and a notebook. 3. Begin your DO.

Slides:

Advertisements

Similar presentations

State the domain and range of each function. 3.1 Graphs of Exponential Functions.

Advertisements

6.3 Exponential Functions

Exponential Growth and Decay Functions. What is an exponential function? An exponential function has the form: y = ab x Where a is NOT equal to 0 and.

Objective: Students will be able to write and evaluate exponential expressions to model growth and decay situations.

Exponential Functions Section 1. Exponential Function f(x) = a x, a > 0, a ≠ 1 The base is a constant and the exponent is a variable, unlike a power function.

6. 3 Logarithmic Functions Objectives: Write equivalent forms for exponential and logarithmic equations. Use the definitions of exponential and logarithmic.

10/8 Bell Ringer Step 1: Grab today’s material from front of room Step 2: GET OUT YOUR HOMEWORK! Step 3: Answer bell ringer below: (a)Identify the domain.

Aim: What is an exponential function?

Exponential Growth Exponential Decay

SWBAT to sketch and solve exponential functions WARM UP: Find the roots using your GDC! a)f(x) = x 2 +3x -2 b) f(x) = x 3 +3x – 3.

Identifying Key Features of Graphs of Quadratic Functions

Exponential Growth Exponential Decay Graph the exponential function given by Example Graph the exponential function given by Solution x y, or f(x)

Good Morning, Precalculus! When you come in, please Grab your DO NOW sheet at the front of the room. 2. Take out your homework from last night:

Exponential Functions Section 1. Exponential Function f(x) = a x, a > 0, a ≠ 1 The base is a constant and the exponent is a variable, unlike a power function.

8-1 Exploring Exponent Models Objectives:  To identify exponential growth and decay.  To define the asymptote  To graph exponential functions  To find.

Section 6.3 – Exponential Functions Laws of Exponents If s, t, a, and b are real numbers where a > 0 and b > 0, then: Definition: “a” is a positive real.

Section 4.1 Exponential Functions

Holt Algebra Exponential Functions, Growth, and Decay Holt Algebra 2 Read each slide. Answer the hidden questions. Evaluate (1.08) (0.95)

Coordinated Algebra Unit 3 Part B. What is an Exponential Function?

3.4, 3.5, 3.6, 3.7 TCAP Week 2- Slope. Do Now – (9/3), (√676), ((√13) 2 ) Please pick up your guided notes, get our your SPI Tracker, and respond to the.

Bellwork Quarter 3 Week #3. Bellwork: Quarter 3 Week #3 Monday, January 19, 2015 Which list correctly matches the function? Show work to prove this: f(x)

What is the symmetry? f(x)= x 3 –x.

Graphing Exponentials and Logs

1 Factoring Practice (5 questions). 2 Factoring Practice (Answers)

8.1-2 – Exponential Functions. Ex. 1 Sketch the graph of y = 2 x. Then state the functions domain & range.

Objective: TSW graph exponential functions and identify the domain and range of the function.

7.1 Exponential Models Honors Algebra II. Exponential Growth: Graph.

State the domain and range of each function Exponential Growth and Decay.

Exponential Functions Learning Objective: to explore the graphs of exponential functions and the natural base. Warm-up (IN) 1.Complete the table. 2.Do.

Exponential Functions and Their Graphs

8-2: Exponential Decay Objective Ca Standard 12: Students know the laws of fractional exponents, understand exponential functions and use these functions.

Real Exponents Chapter 11 Section 1. 2 of 19 Pre-Calculus Chapter 11 Sections 1 & 2 Scientific Notation A number is in scientific notation when it is.

Aim: What is the exponential function?

Aim: What is the exponential function? Do Now: Given y = 2 x, fill in the table x /8 ¼ ½ y HW: Worksheet.

9.1 Exponential Functions

Honors Precalculus: Do Now

1. Evaluate the expressions: log 3 27log 2 ½ log Sketch the graph of f(x) = 4 x and tell the domain, range, intercept, asymptote, and end behavior.

Today in Precalculus Notes: Intro to Exponential Functions (no handout) Homework.

SECTION 4.3 EXPONENTIAL FUNCTIONS EXPONENTIAL FUNCTIONS.

Exponential Functions Exponential Growth Exponential Decay y x.

8-1: Exponential Growth Objective CA 12: Students know the laws of fractional exponents, understanding exponential functions, and use these functions in.

8.5 and 8.6 Writing and Graphing Exponential Growth and Decay Functions Students will learn to Write exponential growth and decay functions Graph exponential.

Properties of Exponential Functions. Warm Up 1. Label the following sequences as arithmetic or geometric then find the next term:  3, -6, 18, -36  10,

Lesson 3.6 (Continued) Graphing Exponential Functions : Graphing Exponential Functions.

Exponential Growth Exponential Decay Example 1 Graph the exponential function given by Solution xy or f(x) 0 1 –1 2 – /3 9 1/9 27.

Exponential Functions Chapter 10, Sections 1 and 6.

Lesson 20 – Introducing and Applying Base e. Pre-Calculus 2/22/20161Pre-Calculus.

Exponential Functions 4.3 **You might want graph paper**

Graph Y-Intercept =(0,2) Horizontal Asymptote X-Axis (y = 0) Domain: All Real Numbers Range: y > 0.

7-1 Exponential Functions

3.1 Exponential and Logistic Functions. Exponential functions Let a and b real number constants. An exponential function in x is a function that can be.

Transformations of Functions (Chapter 2.3-page 97)

Section Vocabulary: Exponential function- In general, an equation of the form, where, b>0, and, is known as an exponential function. Exponential.

Good Morning, Precalculus! When you come in, please Grab a "Quarter 1 Reflection" at the front of the room. 2. Complete this as your DO NOW. 3.

HW: pg ,10,14,26-28 Do Now: Take out your pencil, notebook, and calculator. 1) Objectives: You will be able to define exponential functions. You.

LEQ: How do you evaluate logarithms with a base b? Logarithms to Bases Other Than 10 Sec. 9-7.

Chapter 7 Exponential and Logarithmic Functions. 7-1 Exponential Growth.

Graphs of Exponential Functions. Exponential Function Where base (b), b > 0, b  1, and x is any real number.

Objectives: The student will be able to… 1)Graph exponential functions. 2)Solve exponential equations and inequalities.

LOGARITHMS. Find the inverse function for each of the functions below. 1.f(x) = 3x – f(x) = 2 x.

6. 3 Logarithmic Functions Objectives: Write equivalent forms for exponential and logarithmic equations. Use the definitions of exponential and logarithmic.

Exponential Functions

Lesson: Extension Cubic Functions and Equations

Aim: What is the exponential function?

Graphing Exponential Functions Exponential Growth p 635

Algebra Exponential Functions

Exponential Functions

Exponential Functions and Their Graphs

Exponential Functions and Their Graphs

Presentation transcript:

Good Morning, Precalculus! When you come in, please Grab your DO NOW sheet 2. Take out something to write with, and a notebook. 3. Begin your DO NOW! Do Now: 1. Where do you see yourself in 10 years? Please write as many details as possible!

Today's Agenda: 1. Do Now 2. Unit Timeline 3. Today's Objective 4. Unit 4 Pre-Test & Corrections 5. Intro to Unit 4, Objective 1 6. Closing

Unit Timeline W ARNING: THIS UNIT IS VERY SHORT!

Unit Timeline T oday 11/16: Begin Obj. 1 Monday 11/19: Finish Obj. 1 Tuesday 11/20: Begin Obj. 2 Wednesday 11/21: Finish Obj. 2 THANKSGIVING BREAK WILL BE ON 11/22 AND 11/23 Monday 11/26: Begin Obj. 3 Tuesday 11/27: Finish Obj. 3 Wednesday 11/28: Unit 4 Review Thursday 11/29: Unit 4 Test!!! WRITE THIS DOWN!!!

Today's Objective U nit 4, Objective 1: I will be able to analyze and graph exponential functions and solve problems using exponential functions.

Unit 4 Pre-Test

P lease complete your pre-test independently and silently! When you are finished, please put your pencil down and wait for others to finish.

Unit 4 Pre-Test S elf-Corrections

Unit 4 Pre-Test S elf-Corrections

Unit 4 Pre-Test S elf-Corrections

Intro to Unit 4, Obj. 1: Exponential Functions

Exponential functions have the form f(x) = bx, where: 1. b is a positive real number 2. the exponent is a variable Vocab:

Exponential Functions With your partner, graph the function f(x) = 2x. Sketch the graph and complete the table below.

Exponential Functions Use the graph of f(x) = 2x and the table of values to answer the questions below: 1. What is the domain of this function? 2. What is the range? 3. y-intercept? 4. Is it continuous? 5. What's the horizontal asymptote? 6. What's the vertical asymptote?

Exponential Functions With a partner, sketch the graphs of f(x) = 2x, f(x) = 2x + 3, and f(x) = 2x-2 on the same set of axes. Compare and contrast the graphs and write down some observations. What are some similarities and differences that you notice between the graphs of the three different functions?

Exponential Growth & Decay

When a function loses value exponentially over time, the graph exhibits exponential decay. Example: the rate at which an object cools.

Exponential Growth & Decay When a function increases exponentially over time, the graph exhibits exponential growth. Ex: the population of people or animals in the world.

Exponential Growth & Decay The general form of exponential growth and decay can be summarized as below:

Closing

Your homework for the weekend: -Read pgs (about what we did today) -Using what you have read, try and write the correct equation that would be used to model the question. (you aren't SUPPOSED to know the right answer - but you should try anyway!)