Section 9.2 – Exponential Functions. Graph using three convenient points.

Slides:



Advertisements
Similar presentations
Solving Exponential Equations Equations with variables in exponents, such as 3 x = 5 and 7 3x = 90 are called exponential equations. In Section 9.3, we.
Advertisements

Table of Contents Applications of Exponential Functions - Growth & Decay There are many applications of exponential functions in the areas of growth and.
Basic Functions and Their Graphs
Elasticities. Objectives Students will be able to Calculate the elasticity of demand. Calculate the value at which total revenue is maximized. Determine.
Exponential and Logarithmic Equations Section 3.4.
Chapter 2 Nonlinear Models Sections 2.1, 2.2, and 2.3.
MAC 1105 Section 4.3 Logarithmic Functions. The Inverse of a Exponential Function 
Exponential Depreciation
ACTIVITY 36 Exponential Functions (Section 5.1, pp )
Write the equation of the line…. Write the equation of the line… Through (4, 5) and (6, 9)
Lesson 4-3 Example Example 1 Write 1.41, 0.55, and 1.01 in order from least to greatest. Check your answer by graphing the decimals on a number line.
Notes Over 6.7 Finding the Number of Solutions or Zeros
Section 1.7 Piecewise Functions. Vocabulary Absolute Value Function – a piecewise function, written as f(x)=, where f(x) 0 for all values of x. Greatest.
Advanced Precalculus Notes 4.9 Building Exponential, Logarithmic, and Logistic Models.
Section 9.2 Exponential Functions  Evaluating Rational & Irrational Exponents  Graphing Exponential Functions f(x) = a x  Equations with x and y Interchanged.
Graph and on a number line. Then copy and complete the statement with, or Example 2 Comparing Real Numbers 1 ? = SOLUTION Use a calculator.
Test an Equation for Symmetry Graph Key Equations Section 1.2.
1 Nonlinear Models Chapter 2 Quadratic Functions and Models Exponential Functions and Models Logarithmic Functions and Models Logistic Functions and Models.
Exponential Functions Compound Interest Natural Base (e)
5.3 – Solving Multi-Step Inequalities. *Just like solving equations*
Section 1.4 Logarithmic Functions. Find x for the following: How about now?
Section 6.5 – Properties of Logarithms. Write the following expressions as the sum or difference or both of logarithms.
Section 3.5 Modeling with Exponential Logarithmic Functions.
Logarithmic Functions
Section 5.5 Solving Exponential and Logarithmic Equations Copyright ©2013, 2009, 2006, 2001 Pearson Education, Inc.
Systems of Equations and Inequalities Advanced Math Chapter 9.
Review the exponential growth, constant change, & exponential decay graphs and equations on p. 415.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 6.4 Logarithmic Functions.
Math – Exponential Functions
Comparing and Ordering Integers LESSON 6-2 Compare –12 and –10. Since –12 is to the left of –10, –12 < –10. Graph –12 and –10 on the same number line.
Slide the Eraser Exponential and Logarithmic Functions.
Linear Approximations. In this section we’re going to take a look at an application not of derivatives but of the tangent line to a function. Of course,
Section 11.1: Solving Linear Systems by Graphing
§ 4.2 The Exponential Function e x.
Ch. 8.5 Exponential and Logarithmic Equations
Chapter 6 Section 3.
Algebra 2 Stat review 11.2, 11.3, 11.5.
Sullivan Algebra and Trigonometry: Section 6.3 Exponential Functions
Linear Programming Maximise P = 3x + 4y.
Notes Over 4.7 Solving an Equation Graphically
MAT 150 – Class #17 Topics: Graph and evaluate Logarithmic Functions
Solving Exponential and Logarithmic Equations
Linear Equations Y X y = x + 2 X Y Y = 0 Y =1 Y = 2 Y = 3 Y = (0) + 2 Y = 2 1 Y = (1) + 2 Y = 3 2 Y = (2) + 2 Y = 4 X.
Section Euler’s Method
Chapter 3 Section 3.
PARENT GRAPH FOR LINEAR EQUATIONS
Cards Cards
Exponential Functions
Piecewise-defined Functions
Equation Review Given in class 10/4/13.
A graphing calculator is required for some problems or parts of problems 2000.
Pick up paper of problems from folder
Build Quadratic Models from Verbal Descriptions and from Data
Chapter 5: Graphs & Functions
9 – Exponential Expressions No Calculator
The Chain Rule Section 3.4.
Product Rule/Quotient Rule
17 – Exponential Modeling – Creating an Equation Calculator Required
Equation Review.
Sullivan Algebra and Trigonometry: Section 6.2
Decay at a constant percentage rate can be described by
Solve each quadratic using whatever method you choose!
Objective - To order whole numbers.
GRAPHING LINEAR EQUATIONS
The Chain Rule Section 2.4.
Line Graphs.
Exponential Functions Logarithmic Functions
Notes Over 8.7 Writing an Exponential Function
Algebra 1 Warms Up Oct. 2-5.
Conic Sections Circles
Presentation transcript:

Section 9.2 – Exponential Functions

Graph using three convenient points

The demand equation for a product is a) Find the price p for a demand of x = 500 units. b) Find the price p for a demand of x = 750 units c) Find the price p for a demand of x = 1250 units d) Approximate the greatest price that will still yield a demand of at least 600 units. CALCULATOR REQUIRED

A certain type of bacterium increases according to the model where t is the time in hours. Find: A) P(5) B) P(12) C) P(13) D) P(17)