Ch 8: Exponents F) Graphing Exponential Functions Objective: To graph exponential functions.

Slides:



Advertisements
Similar presentations
Ch. 3.2: Logarithms and their Graphs What are they?
Advertisements

Exponential Functions o Work on Exploration 1: Exponential Functions page 22 o Definition of Exponential Function o Graphs of Exponential Growth & Decay.
Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.
Logarithmic Equations Unknown Exponents Unknown Number Solving Logarithmic Equations Natural Logarithms.
{ Graphing Linear Equations And Inequalities.  Create an x y chart.  Pick the x’s that you would like to use.  You must pick at least three, you may.
Ch 5.4 Elimination (multiplication)
EXAMPLE 2 Write a rule for the nth term Write a rule for the nth term of the sequence. Then find a 7. a. 4, 20, 100, 500,... b. 152, –76, 38, –19,... SOLUTION.
Graph an equation in standard form
Functions. A function is a relation that has exactly one output for each input.
3.2 – Solving Linear Equations by Graphing. Ex.1 Solve the equation by graphing. x – y = 1.
Ch 5.1 Graphing Systems Objective: To solve a system of linear equations by graphing.
Unit 1 Test Review Answers
Unit 3: Linear and Exponential Functions Today’s Standard: A.REI.10 “Represent and solve equations and inequalities graphically.”
Given any function, f, the inverse of the function, f -1, is a relation that is formed by interchanging each (x, y) of f to a (y, x) of f -1.
Ch 5.3 Elimination (addition)
2.1, 6.7 Exponential Equations OBJ:  To solve an exponential equation  To solve an exponential equation using properties of rational number exponents.
Exponential and Logarithmic Functions Exponents and Exponential Functions Exponential and Logarithmic Functions Objectives Review the laws of exponents.
Math Bellwork 12/16/13 – 12/20/13. Bellwork 12/16/13 Find the equation of the line
CHAPTER 6 SECTION 1 Writing Linear Equations in Slope-Intercept Form.
Notes Over 8.4 Rewriting Logarithmic Equations Rewrite the equation in exponential form.
Chapter Sections: Topic: Graphing a line Vocabulary: When slope is negative the line is pointed down. When a line is pointed down use a slope triangle.
C2: Exponential Functions Learning Objective: to be able to recognise a function in the form of f(x) = a x.
Objective: To graph linear equations
Ch 2.1 (part 2) One Step Inequalities (Multiplication) Objective: To solve and graph simple inequalities involving multiplication and division.
Graphing Quadratic Equations
Chapter Sections: Topic: Testing a point is on line Vocabulary: A function is a machine that makes a y for every x. The equation of a line can be a function.
Ch 9: Quadratic Equations C) Graphing Parabolas
Ch 4.7 Objective: To use the slope and y-intercept to graph lines.
Ch 8: Exponents D) Rational Exponents
Exponential Functions Standard: A.CED.1. Essential Questions: How do I make a table of values for an exponential function? How do I graph an exponential.
Ch 9: Quadratic Equations F) Graphing Quadratic Inequalities Objective: To graph quadratic inequalities.
Ch 1.7 (part 1) One Step (Addition & Subtraction) Objective: To solve one-step variable equations using the Inverse Property of Addition.
Ch 7: System of Equations E) Parallel & Same Lines Objective: To identify the number of solutions of a system of linear equations.
The Logarithm as Inverse Exponential Function Recall: If y is a one to one function of x, to find the inverse function reverse the x’s and y’s and solve.
BELL RINGER Write, in paragraph form, everything you remember about logarithmic and exponential functions including how to convert, solve logarithmic equations,
Common Logarithms - Definition Example – Solve Exponential Equations using Logs.
Solving Logarithmic Equations
Warm-Up 1. Write the following in Slope-Intercept From: 2. Given the following table, write the exponential model: X01234 Y
Ch 6.1 One Step Inequalities (Addition) Objective: To solve and graph simple inequalities involving addition/subtraction.
8-2: Exponential Decay Day 2 Objective Ca Standard 12: Students know the laws of fractional exponents, understand exponential functions and use these functions.
February 7, 2012 At the end of today, you will understand exponential functions and their transformations. Warm-up: Correct HW π/613. π/357. √5/3.
1.1) RECTANGULAR COORDINATES Pg 9 # 1- Do Now!. Coordinate Plane  Label: x, y-axis, origin, quadrants  Plot points.
6.5 Solving Exponential Equations SOLVE EXPONENTIAL EQUATIONS WITH THE SAME BASE. SOLVE EXPONENTIAL EQUATIONS WITH UNLIKE BASES.
HOMEWORK: WB p RATIONAL FUNCTIONS: GRAPHING.
WARM UP 3 SOLVE THE EQUATION. (Lesson 3.6) 1. x + 9 = x – 5 = x - 8 = 2.
Objective: To solve and graph compound inequalities involving “or”.
Solving Exponential and Logarithmic Equations
Exponential Functions
Property of Equality for Exponential Equations:
To solve absolute value equations and inequalities in one variable
Warmup Convert to radical form: 2. Convert to rational form:
Lesson 9 – 3 Logarithmic Functions
Ch 6.5 Absolute Value Equations
5.6 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.
Bellwork Find the x and y values Y (-5,2) (3,3) X (-3,-1) (4,-3)
GRAPH EXPONENTIAL DECAY FUNCTIONS
Ch 2.2 One Step (Addition & Subtraction)
USING GRAPHS TO SOLVE EQUATIONS
Graphing Using x and y Intercepts
Scatter Plots and Equations of Lines
Exponential Functions
Circles.
Graphing Systems of Equations
55. Graphing Exponential Functions
Graphing with X- and Y-Intercepts
Drawing Graphs The straight line Example
Ch 4.2 & 4.3 Slope-Intercept Method
exponential equations
Graphing using Slope-Intercept Form
Presentation transcript:

Ch 8: Exponents F) Graphing Exponential Functions Objective: To graph exponential functions

Exponential Function An equation in the form: y = bg x Definitions Rules Note: The direction of the graph should be as follows: 1) Plug in values for “x” (-2, -1, 0, 1, 2, 3, 4) and solve for “y” g > 10 < g < 1 updown 2) Plot the points and draw a curve through them.

Graph Example 1

Graph b = 10 g = 0.8 decreasing y-int. Example 2

Graph b = 5 g = 1.2 increasing y-int. Example 3

Graph b = 50 g = 0.6 decreasing Example 4

Classwork 1)2)Graph y = 3 x Graph y = 2(3) x

Classwork 3)4)Graph y = 2( ) x Graph y = 3( ) x