Warm-Up 1. Write the following in Slope-Intercept From: 2. Given the following table, write the exponential model: X01234 Y48163264.

Slides:



Advertisements
Similar presentations
Graph of Exponential Functions
Advertisements

State the domain and range of each function. 3.1 Graphs of Exponential Functions.
5.3 Slope-intercept form Identify slope and y-intercept of the graph & graph an equation in slope-intercept form. day 1.
5-3 Slope-Intercept Form Objective: Students will be able to write and graph linear equations in slope-intercept form.
Graphs of Exponential and Logarithmic Functions
Objective - To use x-intercepts and y-intercepts to graph a line. Make a table of values to graph y = 2x - 6. xy = 2x (-3) - 6= (-2) - 6=
Warm-Up: FACTOR 1.x 2 – x x x 2 – x – 2 5.x 2 – 5x – x 2 – 19x – 5 7.3x x - 8.
Copyright © 2005 Pearson Education, Inc. Slide 9-1.
Table of Contents Lines: Slope-Intercept Equation The slope-intercept equation of a line is y = mx + b. Here, m is the slope and b is the y-coordinate.
The slope-intercept form of a linear equation of a non-vertical line is given by: Slope-Intercept Form of a Linear Equation.
9.3 Logarithmic Functions. To solve a logarithmic equation, it is often best to start by changing it to its exponential equivalent. Ex 1) Solve for x.
Graphing Quadratics Warm-up (IN) Solve by completing the square Learning Objective: To use completing the square to rewrite a quadratic equation.
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.
3.1 – Graphing Linear Equations. Linear equation.
17, 13, 9, 5, … 1.Write the rule for the above sequence. 2.What is the 12 th term? is what term in the sequence?
3.2 Graphing Functions and Relations
How does one Graph an Exponential Equation?
3.2 – Solving Linear Equations by Graphing. Ex.1 Solve the equation by graphing. x – y = 1.
Objectives: Evaluate Exponential Functions Graph Exponential Functions Define the Number e.
Exponential Growth Exponential Decay Graph the exponential function given by Example Graph the exponential function given by Solution x y, or f(x)
How do I graph and use exponential growth and decay functions?
Identifying Features of Linear and Exponential Functions S tandard: A.F.IF.4 Essential Question: How do I identify key features from a graph of a linear.
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.
Sullivan Algebra and Trigonometry: Section 5.3 Exponential Functions Objectives of this Section Evaluate Exponential Functions Graph Exponential Functions.
Slope-Intercept Form. Warm-up: Find the slope of the following: Find the slope of the line passing through: (-1,- 2)(3,4) Slope = 6 4 Find the slope of.
Exponential Functions MM3A2e Investigate characteristics: domain and range, asymptotes, zeros, intercepts, intervals of increase and decrease, rate of.
M Linear equations also known as lines. m Each line is defined by: intercepts and slope m Slope is the change in y over the change in x m rise over run.
8.1-2 – Exponential Functions. Ex. 1 Sketch the graph of y = 2 x. Then state the functions domain & range.
6.3 Logarithmic Functions. Change exponential expression into an equivalent logarithmic expression. Change logarithmic expression into an equivalent.
6.2 Exponential Functions. An exponential function is a function of the form where a is a positive real number (a > 0) and. The domain of f is the set.
State the domain and range of each function Exponential Growth and Decay.
Exponential Functions Graphing. Exponential Functions  Graphing exponential functions is just like graphing any other function.  Look at the graph.
Key Information Starting Last Unit Today –Graphing –Factoring –Solving Equations –Common Denominators –Domain and Range (Interval Notation) Factoring will.
MOODLE DAY Agenda: - Check Homework - Warm-Up - Notes “4.5 A Continued” Quiz Monday.
Is it a linear function? no.
9.1 Exponential Functions
Using a Point & Slope to find the Equation. What we are doing today…. We are going to learn how to take a point and a slope and turn it into y = mx +
5.1 Slope-Intercept Form Day 2. Given the slope and y-intercept, create the equation of the line. 1.Slope = Slope = 1/3 3. Slope = -2/5 y-int =
The y-intercept and slope-intercept form/ Writing linear equations from graphs. 1/11/15.
Exponential Functions Exponential Growth Exponential Decay y x.
Lesson 3.6 (Continued) Graphing Exponential Functions : Graphing Exponential Functions.
Warm Up for Lesson 3.5 1)Solve: x 2 – 8x – 20 = 0 2) Sketch the graph of the equation y = 2x – 4.
Objective The student will be able to: graph a line given any linear equation. SOL: A.6 Designed by Skip Tyler, Varina High School.
Math – Exponential Functions
Warm up Write the equation in vertex form of the quadratic equation that has been: 1. shifted right 7 and down reflected across the x-axis and shifted.
Notes Over 9.2 Graphing a Rational Function The graph of a has the following characteristics. Horizontal asymptotes: center: Then plot 2 points to the.
HOMEWORK: WB p RATIONAL FUNCTIONS: GRAPHING.
7.6 Exponential Functions. Definitions What is a linear function? y = mx + b Any function whose graph is a line. Any function with a constant rate of.
2.3 Notes Linear Functions: Slope, Graphs, and Models.
Warm-Up: FACTOR 1.x 2 – x x x 2 – x – 2 5.x 2 – 5x – x 2 – 19x – 5 7.3x x - 8.
Recall that the slope-intercept form of a linear equation of a non-vertical line is given by: Graphing Using Slope-Intercept Form.
Graphs of Exponential Functions. Exponential Function Where base (b), b > 0, b  1, and x is any real number.
Warm-up Complete the 5 question quiz for your warm-up today.
Warmup 3-24 Simplify. Show work! Solve for x. Show work! 4. 5.
LESSON 20 PREREQ B: Writing the Equation of a Line.
Warm up Write the equation in vertex form of the quadratic equation that has been: 1. shifted right 7 and down reflected across the x-axis and shifted.
Sullivan Algebra and Trigonometry: Section 6.3 Exponential Functions
Exponential Equations
How does one Graph an Exponential Equation?
Warm-Up Name the characteristics for the function: Domain Range Intercepts Increasing/Decreasing Asymptote End Behavior.
4.2 Exponential Functions
6.2 Exponential Functions
4.2 Exponential Functions
6.9 Graphing Exponential Equations
Sullivan Algebra and Trigonometry: Section 6.2
55. Graphing Exponential Functions
7.4 Graphing Exponential Equations
Unit 3-Section 4 “Functions, Tables, Graphs”
Exponential Functions and Their Graphs
Warm-Up: For the graph, name the following characteristics.
Presentation transcript:

Warm-Up 1. Write the following in Slope-Intercept From: 2. Given the following table, write the exponential model: X01234 Y

Graphing Linear Functions

3 Major Parts to Graph 1.Make sure the equations is in Slope-Intercept form:  y=mx+b 2.Plot the b first & use m to get the rest of the points. 3.Sketch the line.

1. Graph the function.

2. Using the graph from #1: Domain: _____________ Range: _______________ X-Int: ________ Y-Int: ________ Increasing or Decreasing?

Graphing Exponential Functions

3 Major Parts to Graph 1.Graph the special line called the asymptote  Horizontal, Dashed line 2.Graph 4 helpful points -use your table 3.Sketch graph

3. Graph the function.

4. Graph the function.

5. Using the graph from #3: Domain: _____________ Range: _______________ X-Int: ________ Y-Int: ________ Asymptote: _____________ Increasing or Decreasing?

6. Comparing Exponential Functions  Graph the two functions.  Which function has a greater rate of change over the interval [0, 5]? How do you see that in the graph?

7. Comparing Two Functions:  Graph the two functions.  Which function has the greater y-intercept?

YOU TRY!!! 8. Graph the function and determine the characteristics: Domain________ Range_________ x-int: _________ y-int: __________ Inc or Dec Asymptote: ________